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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. smooth manifold with an involution; set of fixed points; normal bundle; Stiefel orientations; spaces with an involution; complex points of a nonsingular real algebraic variety; projective complete intersection
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. singularities of contact cones; set of lines of high contact; local analytic complex projective variety; contact cones; smooth complete intersection; algebraization; locally ruled hypersurfaces; general position
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. effectivity; \(l\)-torsion points; non CM elliptic curve; Galois group; field of rationality; periods of abelian varieties; Faltings height; minimal isogeny; Kummer theory Masser, D.; Wüstholz, G., Galois properties of division fields of elliptic curves, Bull. Lond. Math. Soc., 25, 247-254, (1993)
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. equimultiple prime ideal; Rees ring; complete intersection; Cohen- Macaulayness Herrmann, M., Ribbe, J. and Trung, N.V.: Rees algebras of non-singular equimultiple prime ideals. Nagoya Math. J., to appear
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. complete intersection; toric ideal; affine and projective monomial curves; generalized arithmetic sequences; Fibonacci and Lucas sequences Bermejo, I.; García-Marco, I.: Complete intersections in certain affine and projective monomial curves. Bull. braz. Math. soc., new ser. 45, No. 4, 1-26 (2014)
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. complete intersection; finite generation of the symbolic Rees algebra; monomial curves; twisted elements; Gröbner bases [E] Eliahou, S.: Symbolic powers of monomial curves. Preprint 1985
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. arithmetically Cohen-Macaulay scheme; arithmetic genus; Borel-fixed monomial ideal; degree; generic initial idea; Hilbert function; minimal system of generators; regularity Cho, H.M.; Cho, Y.H.; Park, J.P., Generic initial ideals of arithmetically Cohen-Macaulay projective subschemes, Commun. Algebra, 35, 2281-2297, (2007)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. locally Cohen-Macaulay curve; curve on a 3-dimensional smooth algebraic variety; quasi-primitive multiple structure; locally complete intersection M. Boratyński, Locally complete intersection multiple structures on smooth algebraic curves, Proc. Amer. Math. Soc. 115 (1992), no. 4, 877 -- 879.
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. variety of low codimension; complete intersection; vanishing theorems Lawrence Ein, Vanishing theorems for varieties of low codimension, Algebraic geometry (Sundance, UT, 1986) Lecture Notes in Math., vol. 1311, Springer, Berlin, 1988, pp. 71 -- 75.
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. binomial ideal; complete intersection; finite field; monomial parameterization; vanishing ideal Tochimani, A.; Villarreal, R. H.;, Vanishing ideals over rational parameterizations, arXiv:1502.05451v1, (2015)
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. projectively normal curves; resolution of homogeneous ideal of curve
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. number of singularities; deformation of isolated complete intersection singularity; Milnor lattice; weighted homogeneous singularities DOI: 10.1112/jlms/s2-31.3.401
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Artinian; Borel-fixed; complete intersection; glicci; Gorenstein liaison; Hilbert function; liaison; licci; linkage; monomial ideal \beginbarticle \bauthor\binitsJ. \bsnmMigliore and \bauthor\binitsU. \bsnmNagel, \batitleMonomial ideals and the Gorenstein liaison class of a complete intersection, \bjtitleCompos. Math. \bvolume133 (\byear2002), page 25-\blpage36. \endbarticle \OrigBibText J. Migliore, and U. Nagel: Monomial Ideals and the Gorenstein Liaison Class of a Complete Intersection , Compositio Mathematica, 133 (2002) 25-36. \endOrigBibText \bptokstructpyb \endbibitem
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Cohen-Macaulay ideal; regular sequence; minimal link; generic linkage; complete intersection; non-Gorenstein locus Huneke, C; Ulrich, B, Minimal linkage and the Gorenstein locus of an ideal, Nagoya Math. J., 109, 159-167, (1988)
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. affine ring; complete intersection; projective module; minimal number of generators Mohan Kumar, N.: Some theorems on generation of ideals in affine algebras. Comment. Math. Helv. 59, 243--252 (1984)
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. set-theoretic complete intersection; surfaces birational to a product of curves Kumar, M.: Set-theoretic generation of ideals, Mémoires de la société mathématique de France, sér 38, No. 2, 135-143 (1989)
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. intersections of three hypersurfaces; liaison; codimension 2; complete intersection; linkage; three-generated surfaces DOI: 10.1070/SM1995v186n08ABEH000062
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. hyperplane section of an arithmetically Cohen-Macaulay local complete intersection curve Walter C., Hyperplane sections of Arithmetically Cohen-Macaulay Curves (1981)
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. linkage class of a complete intersection; Herzog class; rigid Gorenstein unique factorization domains; minimal free resolutions Kustin, A.: New examples of rigid Gorenstein unique factorization domains. Comm. algebra 12, 2409-2439 (1984)
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. index of regularity; arithmetically Buchsbaum quasi-complete intersection curves; maximal rank
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. ideal of lines; Gröbner bases; ideal of points; minimal generators of ideal of a curve
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. equimultiple prime ideal; complete intersection; Cohen-Macaulayness
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. homogeneous space; algebras of invariants; covariants; toric actions; complete intersection Panyushev, D.: Good properties of algebras of invariants and defect of linear representations, J. Lie theory 5, 81-99 (1995)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. monomial curves; set-theoretic complete intersection Keum J.H.: Monomial curves which are set-theoretic complete intersections. Comm. Korean Math. Soc. 11, 627--631 (1996)
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. smooth codimension-two subvarieties of smooth hypersurfaces; complete intersection Amerik, E.: On codimension-two subvarieties of hypersurfaces. J. reine angew. Math. 483, 61-73 (1997)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Singularities; Complex analytic geometry; Proceedings; Symposium; Kyoto; RIMS; singularities in complex analytic geometry; complex affine root system; quartic surfaces of elliptic ruled type; bimeromorphic geometry of Gorenstein singularities; Torus embedding; cusp singularities; geometric genus; complex analytic foliation; Deligne, Gabber, Beilinson-Bernstein type theorem; singularities of nilpotent manifold; bifurcation set; Milnor number; quasi homogeneous polynomial; mapping singularities; Morse inequality
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. set theoretic complete intersection; Grothendieck group of projective modules
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. symplectic group; polynomial invariants of one or two matrices; Poincaré series; minimal set of generators; homogeneous system of parameters
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. complete intersection; deviation two Gorenstein ideals of grade at least four; minimal free resolution A. Kustin, The minimal free resolutions of the Huneke-Ulrich deviation two Gorenstein ideals, J. Alg. 100 (1986), 265--304.
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. binomial arithmetical rank; ideals of monomial curves; complete intersection Thoma, A.: On the binomial arithmetical rank.. Arch. math 74, 22-25 (2000)
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. toric ideal; homogeneous ideals of monomial curves Thomas, H.: Bounding the degrees of generators of a homogeneous dimension 2 toric ideal, Collect. math. 53, No. 3, 277-285 (2002)
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. quasihomogeneity of isolated singularity; complete intersection curve; Milnor number; Tjurina number; unimodal complete intersection singularities; Gröbner base Pfister, G.; Schönemann, H.: Singularities with exact Poincarè complex but not quasihomogeneous. Revista Mathematica Madrid (2) 2y3, 161-171 (1989)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Hartshorne's conjecture; strength; strength of a polynomial; low codimension subvariety; complete intersection
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. higher secant variety; homogeneous ideal; symbolic power; rational normal curve Catalano-Johnson, M. L.: The homogeneous ideal of higher secant varieties. J. pure appl. Algebra 158, 123-129 (2001)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Fano manifold; rational curve of minimal degree; dubbies Kebekus, S.; Kovács, S. J., Are rational curves determined by tangent vectors?, Ann. Inst. Fourier (Grenoble), 54, 1, 53-79, (2004)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. equations defining a subscheme; polynomial algebra; minimal system of homogeneous generators Dario Portelli and Walter Spangher, On the equations which are needed to define a closed subscheme of the projective space, J. Pure Appl. Algebra 98 (1995), no. 1, 83 -- 93.
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. minimal rational curve; variety of minimal rational tangents; analytic continuation Mok, N.: Recognizing certain rational homogeneous manifolds of Picard number 1 from their varieties of minimal rational tangents. In: \textit{Third International Congress of Chinese Mathematicians. Part 1, 2, AMS/IP Stud. Adv. Math., 42, pt. 1, vol. 2, A. Math. Soc., Providence, RI}, pp. 41-61 (2008)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. subvariety of general type; generic complete intersection; desingularization; geometric genus Ein L.: Subvarieties of generic complete intersections. II. Math. Ann. 289, 465--471 (1991)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. set-theoretic complete intersections; monomial curves
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. polar curve; isolated singularity; complete intersection; Milnor lattice; parabolic; hyperbolic W. Ebeling, ''The monodromy groups of isolated singularities of complete intersection,''Lect. Notes Math.,1923 (1987).
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. normalization algorithm; radical ideal; implementation; normalization of the plane cuspical curve W. Decker, G.-M. Greuel, T. de Jong, G. Pfister, The normalization: a new algorithm, implementation and comparisons, in: Computational Methods for Representation of Groups and Algebra (Essen, 1997), Birkhaüser, Basel, 1999, pp. 177--185.
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. plane algebraic curve; intersection point; \(n\)-poised set; \(n\)-independent set
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. plane curve; existence of an integral point; height; degree Per Mikkelsen, Effective bounds for integral points on arithmetic surfaces, J. Reine Angew. Math. 496 (1998), 55 -- 72.
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. hyperplane section of a local complete intersection variety; cone; normal bundle; Grassmannian
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. syzygy; stable bundle; Grauert-Mülich theorem; weak Lefschetz property; artinian algebra; monomial complete intersection \beginbarticle \bauthor\binitsH. \bsnmBrenner and \bauthor\binitsA. \bsnmKaid, \batitleA note on the weak Lefschetz property of monomial complete intersections in positive characteristic, \bjtitleCollect. Math. \bvolume62 (\byear2011), page 85-\blpage93. \endbarticle \endbibitem
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. number of torsion points; isogeny class; elliptic curve; minimal torsion DOI: 10.2307/2154714
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. complete intersection; invariant theory of finite groups
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Gorenstein algebras; unimodal \(h\)-sequences; Hilbert series; graded ring; linkage class of a complete intersection Beintema, M. B.: Gorenstein algebras with unimodal h-sequences. Comm. algebra 20, 979-997 (1992)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. abstract complete intersection; algebraic complete intersection; affine model; real curve
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. flat localizations of Abelian categories; structure presheaves of modules; quantized algebras; noncommutative schemes in categories; left spectrum; maximal left ideals; completely prime left ideals; categories of rings; Levitzki radical; quasi-affine schemes; projective spectra; quantized rings; quantum planes; algebra of \(q\)-differential operators; Weyl algebras; quantum envelopes; coordinate rings; generalized Weyl algebras; skew polynomial rings; Serre subcategories; Grothendieck categories; hyperbolic rings; skew PBW monads; monoidal category; Kac-Moody and Virasoro Lie algebras; semigroup-graded monads; Gabriel-Krull dimension Rosenberg, A.L.: Algebraic Geometry Representations of Quantized Algebras. Kluwer Academic Publishers, Dordrecht, Boston London (1995)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. polynomial ring; monomials; Veronese subrings; regularity of ideal; Gröbner basis; homogeneous Koszul algebras Fröberg, R.: Koszul algebras. In: Advances in commutative ring theory (Fez, 1997) Lecture Notes in Pure and Appl. Math., vol. 205, pp. 337-350. Dekker, New York (1999)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. integrable systems; Picard group; Riemann surfaces of infinite genus; complete integrability; eigenbundles; holomorphic line bundles; spectral curve; divisors; Darboux coordinates; Serre duality Schmidt M U 1996 \textit{Integrable Systems and Riemann Surfaces of Infinite Genus}\textit{(Memoirs of the American Mathematical Society vol 122)} (Providence, RI: American Mathematical Society) pp 1--111
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. local intersection number of two curves; infinitely near points; intersection numbers; curve and its polar; duality; Schubert cycle Teissier, B.: Quelques points de l'histoire des variétés polaires, de Poncelet à nos jours, (1988)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Mordell conjecture; Rational points; Seminar; Bonn/Germany; Wuppertal/Germany; proof of Tate conjecture; proof of Shafarevich conjecture; proof of the Mordell conjecture; logarithmic singularities; compactification of the moduli space of abelian varieties; modular height of an abelian variety; p-divisible groups; intersection theory on arithmetic surfaces; Riemann- Roch theorem; Hodge index theorem; rational points G. FALTINGS - G. WÜSTHOLZ, Rational points, Aspects of Math., Vieweg, 1986. Zbl0636.14019 MR863887
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. termination of adjunction; uniruledness; quasi polarized pair; minimal model program; canonical singularities
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. absolute logarithmic height of an algebraic number; number of points of bounded height lying on an algebraic plane curve W. M. Schmidt, Heights of algebraic points lying on curves or hypersurfaces , Proc. Amer. Math. Soc. 124 (1996), no. 10, 3003-3013. JSTOR:
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. rational quartic curve in projective 3-space; complete intersection; characteristic 3 E. Stagnaro , Sulle curve razionali non singolari di ordine 4 di P3 , Rend. Acc. Naz. Scienze detta dei XL, Memorie di Matematica , 101 , ( 6 ) VII ( 1983 ), pp. 51 - 88 . Zbl 0545.14025
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Arakelov theory; Arakelov-Green functions; Wronskian differential; Belyi degree; arithmetic surfaces; Riemann surfaces; curves; Arakelov invariants; Faltings height; discriminant; faltings' delta invariant; self-intersection of the dualising sheaf; branched covers Javanpeykar, A.: Polynomial bounds for Arakelov invariants of Belyi curves. With an appendix by Peter Bruin. Algebra Number Theory \textbf{8}(1), 89-140 (2014)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Newton polyhedra; isolated complete intersection singularity; resolution of singularities; toroidal embeddings Morales, M., Polyèdre de Newton et genre géométrique d'une singularité intersection complète, Bull. Soc. Math. France, 112, 325-341, (1984)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. analytic type of a complex hyperspace germ; dissonant singularities; harmonic singularities; infinitesimal; quasi-homogeneous hypersurfaces
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. complete intersection; rational equivalence of cycles
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. bigraded rings; bigraded modules; complete intersection; Hilbert function; minimal free resolution; scheme-theoretic complete intersection
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. prime characteristic; compute a set of generators for the ring of invariant functions Kempf, G. R.: More on computing invariants. Lecture notes in mathematics 1471, 87-89 (1991)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. rational curve on complete intersection; Calabi-Yau threefold Oguiso, K, Two remarks on Calabi-Yau moishezon treefolds, J. Reine Angew. Math., 452, 153-161, (1994)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. ideal projector; Lagrange projector; Hermite projector; complete intersection
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. arithmetically Cohen-Macaulay; projective monomial curve; revlex; Gröbner basis; numerical semigroup; Apéry set
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Veronese; complete intersection; binomial ideal; multigrading
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. minimal free resolution of a canonically embedded curve; surface of general type; syzygies; fibration of curves; slope; Horikawa index; Clifford index K. Konno, Clifford index and the slope of fibered surfaces, J. Algebraic Geom. 8 (1999), no. 2, 207-220.
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. non-isolated singularity; Milnor number; codimension of the Jacobian ideal; de Rham complex; constructible sheaves of vanishing cycles; Hodge filtration M. Kapranov, On DG-modules over the de Rham complex and the vanishing cycles functor, Algebraic geometry (Chicago, 1989), Lect. Notes in Math. 1479, Springer, 1991, p. 57-86
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. complete intersections of quadrics; complete intersection of Fermat hypersurfaces; Hodge decomposition; duality Terasoma T.: Complete intersections of hypersurfaces--the Fermat case and the quadric case. Jpn. J. Math. 14(2), 309--384 (1988)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. space curve specialization; complete intersection; lifting to characteristic zero Ellia, P., Hartshorne, R.: Smooth specializations of space curves: Questions and examples. In: Commutative algebra and algebraic geometry (Ferrara). Lect. Notes Pure Appl. Math., vol. 206, pp. 53--79. New York: Dekker 1999
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. metrized vector bundles; compactified representations; height of the flag varieties; heights on the projective space; height on the moduli space of vector bundles over an algebraic curve Gasbarri, C., Heights and geometric invariant theory, Forum Mathematicum, 12, 135-153, (2000)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. blow up of divisor; 4-dimensional projective manifold of nonnegative Kodaira; dimension; local complete intersection; 4-dimensional projective manifold of nonnegative Kodaira dimension M.L. Fania , Extension of modifications of ample divisors on fourfolds II , J. Math. Soc. Japan , 38 ( 1986 ), pp. 285 - 294 . Article | MR 833203 | Zbl 0597.14035
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. narrow Mordell-Weil lattice; group of rational points on an elliptic curve; Weyl groups as Galois groups; Mordell-Weil lattices; sphere packing; algebraic equations; inverse Galois problem; Kodaira-Néron model; height pairing; Néron-Severi group; rational elliptic surface
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. complete intersection; normal ideal; integrally closed ideals; residual linkage C. Huneke, B. Ulrich and W. V. Vasconcelos, On the structure of certain normal ideals, Compositio Mathematica 84 (1992), 25--42.
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. height of cycles; complete scheme; line bundles; height machine; Néron- Tate heights Gubler, Walter, Höhentheorie, Math. Ann., 298, 3, 427-455, (1994)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. points on complete intersection of two curves; Cayley-Bacharach theorem
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. set of algebraic points; Klein quartic curve
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Oka principle; set-theoretic complete intersection Schneider, Michael, Vollständige, fast-vollständige und mengen-theoretisch-vollständige Durchschnitte in Steinschen Mannigfaltigkeiten, Math. Ann., 260, 2, 151-174, (1982)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. decoding algorithm; generalized Peterson algorithm; algebraic geometric codes; curves of complete intersection
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. homogeneous cover; ring of regular functions; simply connected semisimple complex Lie group; Lie algebra; nilpotent adjoint \(G\)-orbit; Poisson structure; semisimple Lie algebra; Heisenberg Lie algebra; minimal nilpotent orbit; flag varieties; group of holomorphic automorphisms R. Brylinski and B. Kostant, \textit{Nilpotent orbits, normality, and Hamiltonian group actions}, \textit{J. Am. Math. Soc.}\textbf{7} (1994) 269 [math/9204227].
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Hilbert series; flat local homomorphism of local rings; complete intersection Herzog B.: Lech-Hironaka inequalities for flat couples of local rings. Manuscr. Math 68, 351--371 (1990)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. prints of projective space as intersection with a scroll; k-gonal curve; Brill-Noether number --, On special linear systems on curves.Comm. in Algebra 18 (1990), 279--284.
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Heyting valued set theory; algebraic geometry; complete Heyting algebra of radical ideals; scheme theory
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. representation of prime by principal form; parametrizations of the modular equation; ring class fields; discriminant; Euclid's regular polyhedra; 168-tesselation; Klein's curve of genus 3
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. topological invariants of algebraic varieties; homology groups; fundamental groups; Alexander polynomials; Hodge structures; Whitney stratifications; plane curve and normal surface singularities; Milnor fibration; lattice for an isolated hypersurface singularity; integral bilinear forms; weighted projective varieties; mixed Hodge structures; hypersurface complements; cohomology of complete intersections A. Dimca, ''Singularities and Topology of Hypersurfaces'', Universitext, Springer-Verlag, New York, 1992. DOI: 10.1007/978-1-4612-4404-2
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. generators of ideal of algebraic set; binary forms; polynomial functions; Hilbert function Weyman, J., The equations of strata for binary forms, J. Algebra, 122, 1, 244-249, (1989)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Eisenstein ideal for a Fermat curve; endomorphism of the jacobian; Fermat curve of degree 5
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. characteristic p; Galois covering of complete curve; p-group operating on curves
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Rees ring; special fiber; determinantal ideal; variety of minimal degree; Gröbner basis; Koszul algebra; simplicial complex; non-crossing sets; Catalan numbers
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Griffiths ring; Jacobian ideal; complete intersection in Grassmann; Hodge group; Cayley trick
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. subschemes; limit of join variety; normal cone; intersection theory; complete intersection; linkage; singularities Flenner, H.; Ulrich, B.; Vogel, W., On limits of joins of maximal dimension, Math. Ann., 308, 2, 291-318, (1997)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. curves; genus; morphism; Faltings theorem; Mordell conjecture; algebraic curve of genus greater than one; method of Demyanenko-Manin; rational points; height; Birch and Swinnerton-Dyer conjecture Kulesz, L.; Application de la méthode de Dem'janenko-Manin à certaines familles de courbes de genre 2 et 3; J. Number Theory: 1999; Volume 76 ,130-146.
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Hirzebruch surfaces; distribution of rational points; minimal models of rational surfaces; Batyrev-Manin conjectures; asymptotic formulas; bounded height; exceptional curves; accumulating subvarieties Billard, H, Répartition des points rationnels des surfaces géométriquement réglées rationnelles, Astérisque, 251, 79-89, (1998)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. rational normal scroll; closed graph; set-theoretic complete intersection; Cohen-Macaulay 1. F. Chaudhry, A. Dokuyucu and V. Ene , Binomial edge ideals and rational normal scrolls, Bull. Iranian Math. Soc.41(4) (2015) 971-979. genRefLink(128, 'S0219498817500700BIB001', '000360130200015');
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. equisingularity; non-reduced curve; complete ideal; algebroid plane curve Nobile, A.: Equisingularity theory for plane curves with embedded points. Pacific J. Math. 170, 543-566 (1995)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Poincaré series; differential forms; quasi-homogeneous singularities; non-complete intersections; de Rham complex Aleksandrov, A. G., Differential forms on quasihomogeneous noncomplete intersections, Funkts. Anal. Prilozhen., 50, 1-19, (2016)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. algebraic curve; complete intersection; Bacharach duality theorem Cárdenas, H., San Agustín, R.: On Veronese's decomposition theorems and the geometry of outer automorphisms of groups \(S_6\). J. Comb. Math. Comb. Comput. \textbf{22}, 225-239 (1996)
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. generalized Jacobian of a complete integral curve
0
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Newtonian potentials of algebraic hypersurfaces; ramification; monodromy group; complete intersection
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