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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. Buchsbaum ring; position of lines in projective space; seminormality; Cohen-Macaulay ring; configurations of lines; complete intersection Geramita, A.V., Weibel, C.A.: On the Cohen-Macaulay and Buchsbaum property for unions of planes in affine space. J. Algebra92, 413--445 (1985)
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. transcendence type; periods; quasi-periods; Weierstrass elliptic function; effective criteria; measures of algebraic independence; elimination method; degree; height E.M. Jabbouri : Sur un critère pour l'indépendance algébrique de P. Philippon , in: P. Philippon (ed.) Approximations Diophantiennes et Nombres Transcendants . W. de Gruyter, Berlin (1992) pp. 195-202.
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. intersection of surfaces; quadrics; pencils of quadrics; curve parameterization Dupont, L., Lazard, D., Lazard, S., Petitjean, S.: Near-optimal parameterization of the intersection of quadrics: I. The generic algorithm. J. Symb. Comput. 43(3), 168--191 (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. geometric genus of divisor; general hypersurface; Noether-Lefschetz theorem; complete intersection; tritangent plane sections; quintic 3- fold; Clemens conjecture Geng Xu, ``Subvarieties of general hypersurfaces in projective space'', J. Differ. Geom.39 (1994) no. 1, p. 139-172
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. codimension two orbit; almost-homogeneous varieties; orbits of reductive groups; two-orbit varieties; birational maps; torus embeddings
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. hypersurface sections; lifting problem; complete intersection; arithmetically Cohen-Macaulay; space curve Juan C. Migliore, Hypersurface sections of curves, Zero-dimensional schemes (Ravello, 1992) de Gruyter, Berlin, 1994, pp. 269 -- 282.
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. virtual Mordell-Weil rank; rationality of a curve; minimal bundle of non-hyperelliptic curves M.-H. SAITO - V. NGUYEN KHAC, On Mordell-Weil lattices for nonhyperelliptic fibrations of surfaces with zero geometric genus and irregularity, Izv. Ross. Akad. Nauk Ser. Mat., 66 (2002), pp. 137-154. Zbl1053.14043 MR1942097
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. surface not of general type; degree of smooth surfaces; generic initial ideal; sporadic zero of a curve DOI: 10.1023/A:1000150519995
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. elliptic curve of rank 12; isogeny; canonical height; independent points; class group; Selmer groups; imaginary quadratic fields of 3-rank 6 Jordi Quer, Corps quadratiques de 3-rang 6 et courbes elliptiques de rang 12, C. R. Acad. Sci. Paris Sér. I Math. 305 (1987), no. 6, 215 -- 218 (French, with English summary).
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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. numerical semigroup; almost symmetric; almost Gorenstein; set-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. characterizing complete intersections; codimension two subvarieties; splitting of the normal bundle; threefold; double structure Basili B. and Peskine C., Décomposition du fibré normal des surfaces lisses de \({\mathbb{P}^{4}}\) et structures doubles sur les solides de \({\mathbb{P}^{5}}\), Duke Math. J. 69 (1993), 87-95.
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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. inseparability of the Gauss map; dual variety; complete intersection surface; Fermat surface Kleiman, S., Piene, R.: On the inseparability of the Gauss map, In: Contemp. Math., vol 123, pp.\(\sim\)107--129. Amer. Math. Soc., Providence (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. characteristic 3; group of rational points; elliptic curve; Tate- Shafarevich product; principal homogeneous spaces
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. homotopy Lie algebra; noetherian local ring; cohomology of local; rings; complete intersection Luchezar L. Avramov and Stephen Halperin, On the structure of the homotopy Lie algebra of a local ring, Algebraic homotopy and local algebra (Luminy, 1982) Astérisque, vol. 113, Soc. Math. France, Paris, 1984, pp. 153 -- 155.
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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. simplest cubic field; quadratic twists; elliptic curve; 2-rank; ideal class group; groups of rational points Byeon, Dongho, Quadratic twists of elliptic curves associated to the simplest cubic fields, Proc. Japan Acad. Ser. A Math. Sci., 73, 10, 185-186, (1997)
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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 algebraic varieties; equivariant intersection cohomology; action of a connected algebraic group A Weber, Formality of equivariant intersection cohomology of algebraic varieties, Proc. Amer. Math. Soc. 131 (2003) 2633
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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 curves on 3-folds; Fano variety of index two; twistor curve; minimal twistor spaces; Fano variety; Fano threefolds DOI: 10.1093/qmath/45.3.343
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. subanalytic set; subanalytic function; direct image; positive constructible functions; \(p\)-adics; Presburger structure; o-minimal expansions of groups; Radon transform; inversion R. Cluckers and M. Edmundo. Integration of positive constructible functions against Euler characteristic and dimension. \textit{J. Pure Appl. Algebra}, 208(2):691-698, 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. almost complete intersection of special type; normal bundle; singular points of maximal multiplicity
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-Weil lattices; elliptic surfaces; height pairing; minimal height of a non-torsion point T. SHIODA, Existence of a rational elliptic surface with a given Mordell-Weil lattice, Proc. Japan Acad Ser. A, Math. Sci. 68 (1992), 251-255.
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 space curve; complete intersections; tangent cone
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. reflexive sheaves; Cayley-Bacharach property; complete intersection of 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. rational curve; thin set; rational point; height; lattice; binary quadratic form
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-theoretical complete intersection; cancellation property
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. curve of maximal regularity; minimal free resolution W. Lee and E. Park, On the minimal free resolution of curves of maximal regularity. Bull. Korean Math. Soc. 53 (2016), no. 6, 1707-1714.
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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. Hilbert function of a zero-dimensional subscheme; complete intersection Trung, N. G.; Valla, G.: On zero-dimensional subschemes of a complete intersection. Math. Z. 219, No. 2, 187-201 (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. eigenvalues of Frobenius; \(\ell\)-adic cohomology; 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. deformation into a monomial curve; semigroup of values; multiplicity; algebroid curves Castellanos, J.: ''A relation between the sequence of multiplicities and the semigroup of values of an algebroid curve'', J.P.P.A. 43 (1986), 119--127
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. module of differentials; André-Quillen homology; regular local ring; 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. improper intersection; multiplicity; analytic sets; normal cone; deformation of an analytic set; linear testing theorem K. Nowak, Analytic improper intersections. II. Deformation to an algebraic bicone and applications, Bull. Pol. Acad. Sci. Math. 48 (2000), no. 2, 131-140.
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. zero-cycles; rank 2 bundles; normal Gorenstein surface; locally complete intersection; surface of general type C. F. Catanese,Footnotes to a Theorem of I. Reider, L.N.M.1417 (1990), 67--74
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. Castelnuovo-Mumford regularity; reduction number; \(a\)-invariant; initial ideal; filtrations of homogeneous ideals; associated graded ring Herzog, J.; Hoa, Le Tuan; Trung, Ngo Viet: Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Trans. am. Math. soc. 354, 1793-1809 (2002)
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 spectrum as a partially ordered set; direct limits of isomorphic partially ordered sets; integral domains
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. matroid; toric ideal; base exchange; generating set; Gröbner basis; Betti table
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. index of regularity; Hilbert function; plurigenera; number of; integral points; Newton polyhedra; resolution; complete; intersection singularity
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 version of Weil's theorem; birational group law; group chunk; homogeneous group; quasi-algebraic group chunks; differentially algebraic group chunks; model theory; first-order definable L. P. D. van den Dries, Weil's group chunk theorem: a topological setting, Illinois J. Math. 34 (1990), no. 1, 127 -- 139.
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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. elliptic plane curve; holomorphic self-maps; obstructions; invariants at singular points; ordinary singularities; backward orbit; invariant critical components; Julia set; invariant smooth cubics; elementary maps; dual of smooth cubic; Fermat cubic; tangent process; symmetries; Weierstrass' \(\sigma\) and \(\zeta\) functions; elliptic quartics with two singular points; Cassini quartic; quartics with a cusp and a node; mixed quartic; invariant cuspidal quartic [BD02]A. Bonifant and M. Dabija, \textit{Self-maps of }P 2\textit{with invariant elliptic curves}, in: Complex Manifolds and Hyperbolic Geometry (Guanajuato, 2001), Contemp. Math. 311, Amer. Math. Soc., Providence, RI, 2002, 1--25.
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. theta-dual; cohomological support loci for the twisted ideal sheaves of an Abel-Prym curve; Prym variety; non-hyperelliptic curve; non-hyperelliptic curve S. Casalaina Martin, M. Lahoz, and F. Viviani, Cohomological support loci for Abel-Prym curves, Matematiche (Catania) 63 (2008), 205-222.
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; elliptic genera of level \(N\); Todd genus; \(A_k\)-genus
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. variety of linear systems on a general curve; cohomology of Jacobian; Castelnuovo-Severi-Kleiman conjecture; algebraic intersection number; Schubert calculus Griffiths, P. \& Harris, J.,On the variety of special linear systems on a general algebraic curves, Duke Math. J.,47(1980), 233--272.
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. zero-dimensional schemes; linear system of plane curves; free resolution of the ideal sheaves; homogeneous ideals; graded Betti 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. tropical curves; moduli spaces of marked rational tropical curves; moduli spaces of marked rational curve; tropicalization; tropical intersection theory A. Gross, Correspondence theorems via tropicalizations of moduli spaces. Commun. Contemp. Math. (2014, to appear). arXiv:1406.1999
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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. cone over a plane curve; ruling of a cone; space curves; complete intersections David B. Jaffe, Smooth curves on a cone which pass through its vertex, Manuscripta Math. 73 (1991), no. 2, 187 -- 205.
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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; almost-factorial varieties
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 modular forms and varieties; congruences of modular forms; Sturm's theorem; toroidal and minimal compactifications; intersection 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. quasi-complete intersection; almost 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. zero estimates; abelian varieties; intersection theory; homogeneous polynomial; order of vanishing Denis, L.: Lemmes de multiplicités et intersections. CR acad. Sci. Paris, sér. I 314, 97-100 (1992)
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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 Schubert varieties; rational homogeneous manifolds; variety of minimal rational tangents; standard embeddings; Cartan-Fubini extension
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. smooth complete curve; principal bundle; stable rational variety; moduli variety of stable vector bundles Ballico E.: Stable rationality for the variety of vector bundles over an algebraic curve. J. Lond. Math. Soc. 30(1), 21--26 (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. Cohen-Macaulay local ring; linkage class; licci; deformation; complete intersection; multiplicity; Cohen-Macaulay type; embedding codimension; deviation \beginbarticle \bauthor\binitsC. \bsnmHuneke and \bauthor\binitsB. \bsnmUlrich, \batitleThe structure of linkage, \bjtitleAnn. of Math. (2) \bvolume126 (\byear1987), page 277-\blpage334. \endbarticle \OrigBibText C. Huneke and B. Ulrich, The structure of linkage, Ann. of Math. 126 (1987), 277-334. \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. survey; analytic cover of a torus; ultrametric analysis; infinitesimals; finite-dimensional algebra over algebraically closed fields; finite Morley rank; analytic methods; compact complex manifold; strongly minimal structure; Zariski-type structure; algebraic curve B. Zilber, On model theory, non-commutative geometry and physics, manuscript.
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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. algebraic cycle; type of a complete intersection; middle Picard number T.~Terasoma. Complete intersections with middle {P}icard number 1 defined over {\({\mathbf Q}\)}. {\em Math. Z.}, 189(2):289--296, 1985. https://doi.org/10.1007/BF01175050; zbl 0579.14006; MR0779223
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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. canonical curve section; genus; Fano 3-folds; vector bundle; section of a homogeneous space S.~Mukai. Fano 3-folds. In {\em Complex projective geometry ({T}rieste, 1989/{B}ergen, 1989)}, volume 179 of {\em London Math. Soc. Lecture Note Ser.}, pages 255--263. Cambridge Univ. Press, Cambridge, 1992. Also \url{http://www.kurims.kyoto-u.ac.jp/~mukai/paper/Trieste.pdf}. zbl 0774.14037; MR1201387
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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. decomposition of the normal bundle; locally complete intersection Frédéric Méguin, Triple structures on smooth surfaces of \?\(_{4}\), C. R. Acad. Sci. Paris Sér. I Math. 323 (1996), no. 10, 1119 -- 1122 (English, with English and French summaries).
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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. adjunction theory; low codimension; quadric; non log-general-type; classification; codimension three; Mukai variety; 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. elliptic curve; Mordell-Weil rank; Néron-Severi group; basis for the group of rational points; elliptic surface; computer calculation; height functions Kuwata, M., The canonical height and elliptic surfaces, J. Number Theory, 36, 2, 201-211, (1990), MR 1072465
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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 varieties; isomorphy of varieties
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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 curve; rank 2 vector bundles on \(\mathbb{P}^ 3\); cohomology groups; subcanonical curve [E] Ellia Ph.,Ordres et cohomologie des fibres de rang deux sur l'espace projectif, preprint.
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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. intersection numbers; cycles; Shimura curve; special values of derivatives; metaplectic Eisenstein series; bad reduction; \(p\)-adic uniformization; Drinfeld upper half plane Kudla, S.; Rapoport, M., Height pairings on Shimura curves and \textit{p}-adic uniformization, Invent. Math., 142, 153-222, (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. Nakai-Moishezon theorem; arithmetic surface; discreteness of algebraic points on an algebraic curve; hermitian line bundle; canonical height S. Zhang, Positive line bundles on arithmetic surfaces, Ann. of Math. (2) 136 (1992), no. 3, 569-587.
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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. \(C^{\infty}\)-invariance of the canonical class of a minimal complex surface; Kähler manifold; irrational surface; differential topology of complex algebraic surfaces; moduli spaces of anti-self-dual Yang-Mills connections; holomorphic bundles; deformation equivalent; K3 surface; elliptic surface; intersection form; second Betti number; signature; Bogomolov-Miyaoka-Yau inequality for complex surfaces R Friedman, J W Morgan, Algebraic surfaces and \(4\)-manifolds: some conjectures and speculations, Bull. Amer. Math. Soc. \((\)N.S.\()\) 18 (1988) 1
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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. canonical curves; Petri theorem; syzygies of the homogeneous ideal; line bundle Green M., Lazarsfeld R., A simple proof of Petri's theorem on canonical curves, In: Geometry Today, Rome, June 4--11, 1984, Progr. Math., 60, Birkhäuser, Boston, 129--142
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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. topologically trivial canonical bundle; complete holomorphic functions of finite order; complete intersection; Serre conjecture Forster, Otto; Ohsawa, Takeo, Complete intersections with growth conditions.Algebraic geometry, Sendai, 1985, Adv. Stud. Pure Math. 10, 91-104, (1987), North-Holland, Amsterdam
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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. algebraic set; complete intersection G. LYUBEZNIK , The number of equations needed to define an algebraic set , (preprint).
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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. homotopy abelian DGLA; numerically homotopy abelian DGLA; locally complete intersection ideal sheaf; projective scheme; obstructions to deformations
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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-theoretical 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. index; GSV-index; vector field; complete intersection; complex; homology of complexes; homological index; Buchsbaum--Eisenbud theory Graf von Bothmer, H.-Ch.; Ebeling, Wolfgang; Gómez-Mont, Xavier, An algebraic formula for the index of a vector field on an isolated complete intersection singularity, Ann. Inst. Fourier (Grenoble), 58, 5, 1761-1783, (2008)
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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. non-reduced subschemes; Hilbert function; generators of the homogeneous ideal; higher syzygies; fat point; infinitesimal neighbourhood
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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. commutative ring; ultrafilter topology; constructible topology; spectral space; Goldman prime ideal; retrocompact set C. A. Finocchiaro, K. A. Loper, The strong ultrafilter topology on spaces of ideals, J. Algebra 461 (2016), 226--243.
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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 variety; quasi-projective set; non-projective complete variety Michał Farnik and Zbigniew Jelonek, A complete variety with infinitely many maximal quasi-projective open subsets, Demonstratio Math. 43 (2010), no. 2, 277 -- 284.
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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. zeta-function of the monodromy operator; complete intersection singularity; Newton diagram Kirillov A.-N.: Zeta function of the monodromy for complete intersection singularities. J. Math. Sci. 25, 1051--1057 (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. spectral curve topological recursion; intersection theory of the moduli space of curves P. Dunin-Barkowski, D. Lewanski, A. Popolitov and S. Shadrin, \textit{Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula}, arXiv:1504.07440.
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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. square-tiled surface; Teichmüller curve; pseudo-Hilbert modular surfaces; compactification of moduli spaces; Jacobi forms; Theta functions; Intersection products
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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. coordinate ring of a finite set of points; geometry of the configuration; minimal resolution conjecture
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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. narrow Mordell-Weil lattice; group of rational points on an elliptic curve; Weyl groups as Galois groups; sphere packing; algebraic equations; inverse Galois problem; Kodaira-Néron model; height pairing; Néron- Severi group; rational elliptic surface
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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 varieties; Newton polyhedrons; the mixed volume; intersection indices; resultant cycles; index of vector fields and holomorphic forms; isolated complete intersection singularities A. I. Esterov, ''Indices of 1-Forms, Intersection Indices, and Newton Polyhedra,'' Mat. Sb. 197(7), 137--160 (2006) [Sb. Math. 197, 1085--1108 (2006)].
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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. generating functions; intersection numbers; moduli of curves; intersection theory on the moduli space; KdV equations A. Okounkov, \textit{Generating functions for intersection numbers on moduli spaces of curves}, math/0101201 [INSPIRE].
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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. elliptic curve; formal group; ring of characteristic \(p\); homomorphism; height; isogeny Bluher, A. W.: Formal groups, elliptic curves, and some theorems of couveignes. Lecture notes in computer science (1998)
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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. extension of projective line bundle; 4-dimensional complex projective variety; local complete intersection; ample divisor; stable rank-2 vector bundle
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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; Hilbert function; plurigenera; number of integral points; Newton polyhedra; resolution; complete intersection singularity Marcel Morales, Resolution of quasihomogeneous singularities and plurigenera, Compositio Math. 64 (1987), no. 3, 311 -- 327.
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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. Chern class; residues; Kupka set; holomorphic foliations; complete intersection O. Calvo andM. Soares,Chern numbers of a Kupka component. Ann. Institute Fourier44 No. 4 (1994) 1219--1236
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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. multiplicity; local cohomology modules; generalized Cohen-Macaulay ideal; minimum number of generators; embedding dimensions; arithmetically Buchsbaum curve Ngô Viá»\?t Trung, Bounds for the minimum numbers of generators of generalized Cohen-Macaulay ideals, J. Algebra 90 (1984), no. 1, 1 -- 9.
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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. uniruledness; moduli space of pointed stable curves; pointed hyperelliptic locus; complete intersection surfaces
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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. fat point; Hilbert function; minimal number of homogeneous generators; minimal free resolution
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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; number of eight-secant conics Johnsen, T., Eight-secant conics for space curves,Math. Z. 211 (1992), 609--626.
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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. holomorphic function; ideal; complete intersection; residue; residue currents; Dolbeault cohomology; integral representation formula; semimeromorphic form; pseudoconvex domain Mikael Passare, ``Residues, currents, and their relation to ideals of holomorphic functions'', Math. Scand.62 (1988) no. 1, p. 75-152
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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. quotients by vector fields; class groups of normal domains; Cohen- Macaulay singularity; characteristic p; discriminantal locus; quotient singularities; complete intersection; p-radical descent Aramova, A; Avramov, L, Singularities of quotients by vector fields in characteristic \(p>0\), Math. Ann., 273, 629-645, (1986)
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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. injective homomorphism of product of local rings; length formulas for the local cohomology; module of differential forms on a complete intersection with isolated singularity Bruns, W. andVetter, U., Length formulas for the local cohomology of exterior powers,Math. Z. 191, (1986), 145--158.
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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. algebraic cycles; rational equivalence; motives; balanced correspondence; generic cycle; minimal field of definition; transcendence degree; Bloch's conjecture; rational curve S. Gorchinskiy, V. Guletskii\?, ``Transcendence degree of zero-cycles and the structure of Chow motives'', Cent. Eur. J. Math., 10:2 (2012), 559 -- 568
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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. intersection of surfaces; pencils of quadrics; classification; curve parameterization Dupont, L., Lazard, D., Lazard, S., Petitjean, S.: Near-optimal parameterization of the intersection of quadrics: II. A classification of pencils. J. Symb. Comput. 43(3), 192--215 (2008)
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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. multiplicity; log canonical threshold; minimal log discrepancy; complete intersection rings
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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. surface of general type; sectional genus; irregularity; quasi-polarized surface; symmetric square of a 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. supersingular curve; complete Edwards curve; twisted Edwards curve; quadratic Edwards curve; torsion pair; order of point; Legendre symbol; quadratic residue; quadratic nonresidue
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