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rational point; function field; Jacobian variety; Mordell-Weil group; intersection theory Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) S. Kitagawa, Maximal Mordell-Weil lattices of fibred surfaces with \(p_{g}=q=0\), Rend. Semin. Mat. Univ. Padova 117 (2007), 205--230. | 0 |
rational point; function field; Jacobian variety; Mordell-Weil group; intersection theory Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) rational surface; fibration; Mordell-Weil lattice K. V. Nguyen, On certain Mordell-Weil lattices of hyperelliptic type on rational surfaces, J. Math. Sci. (New York) 102 (2000), no. 2, 3938--3977. | 0 |
rational point; function field; Jacobian variety; Mordell-Weil group; intersection theory Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) S. KITAGAWA - K. KONNO, Fibred rational surfaces with extremal MordellWeil lattices, Math. Z., 251 (2005), pp. 179-204. Zbl1082.14038 MR2176471 | 1 |
rational point; function field; Jacobian variety; Mordell-Weil group; intersection theory Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) exact sequence; zeta function; elliptic curve; Mordell-Weil rank; abelian variety Ulmer, Douglas, Curves and Jacobians over function fields.Arithmetic geometry over global function fields, Adv. Courses Math. CRM Barcelona, 283-337, (2014), Birkhäuser/Springer, Basel | 0 |
rational point; function field; Jacobian variety; Mordell-Weil group; intersection theory Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) F-theory; string duality J.J. Heckman, D.R. Morrison and C. Vafa, \textit{On the Classification of 6D SCFTs and Generalized ADE Orbifolds}, \textit{JHEP}\textbf{05} (2014) 028 [\textit{Erratum ibid.}\textbf{1506} (2015) 017] [arXiv:1312.5746] [INSPIRE]. | 0 |
rational point; function field; Jacobian variety; Mordell-Weil group; intersection theory Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) family of curves; semistable fiber; rational surface Gong, C; Lu, X; Tan, S-L, Families of curves over \({\mathbb{P}}^1\) with 3 singular fibers, C. R. Math. Acad. Sci. Paris, 351, 375-380, (2013) | 0 |
rational point; function field; Jacobian variety; Mordell-Weil group; intersection theory Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) abelian varieties; Mordell-Weil group; Alexander polynomials Dimca, A.: Differential forms and hypersurface singularities. In: Singularity theory and its applications, Part I (Coventry, 1988/1989), vol. 1462 of Lecture Notes in Math., pp. 122-153. Springer, Berlin (1991) | 1 |
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. relation ideal; minimal number of generators; monomial curve; set-theoretic complete intersection Patil , D. P. ( 1994 ). Certain monomial curves are set-theoretic complete intersections.Commutative Algebra (Trieste 1992), p. 195--203. River Edge, NJ: World Sci. Publ . | 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 generating set of the homogeneous ideal of integral space curve; curves on a surface; Picard groups; liaison; Mori quartic DOI: 10.1016/0022-4049(91)90140-W | 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 curve; monomial curve; set-theoretically 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. minimal resolution of homogeneous ideal; postulation; generic hyperplane sections of a curve; lifting lemma; complete intersection Strano, R.: On the hyperplane sections of curves. In: Proceedings of the Geometry Conference (Milan and Gargnano, 1987). Rend. Sem. Mat. Fis. Milano Vol. 57, pp. 125--134 (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. monomial curve; set-theoretic complete intersection; associated prime ideal | 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. system of generators of an ideal; quasi complete intersection; linkage; liaison; elliptic space curve V. Beorchia and Ph. Ellia, On the equations defining quasicomplete intersection space curves, Arch. Math. (Basel) 70 (1998), no. 3, 244 -- 249. | 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 conjecture; binomial complete intersection; toric variety; toric ideal; monomial 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. multiplicity; ideal; set-theoretic complete intersection; height; system of parameters SOLČAN Š.: Zur mengentheoretische Darstellung gewisser Primideale. Math. Slovaca, 35, 1985, 199-210. | 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 in affine 5-space; semigroup associated to monomial curve; minimal set of generators for the ideal of a monomial curve Campillo, A. and Pisón, P.: Generators of a monomial curve and graphs for the associated semigroup. Bull. Soc. Math. Belg. Sér. A 45 (1993), no. 1-2, 45-58. | 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. lattice ideal; set-theoretic complete intersection; monomial 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. arithmetic progression; ideal generators; projective monomial curve; set-theoretic complete intersection; semigroup Li, P.; Patil, D.P.; Roberts, L.G., Bases and ideal generators for projective monomial curves, Comm. algebra, 40, 1, 173-191, (2012) | 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. Buchsbaum-Eisenbud criterion; prime ideal of the monomial curve; minimal finite free resolution H. Bresinsky, Minimal free resolutions of monomial curves in \(\mathbb{P}\) k 3 . Linear Alg. Appl.59, 121--129 (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. lattice ideal; set-theoretic complete intersection; monomial curve Eto K.: Set-theoretic complete intersection lattice ideals in monoid rings. Journal of Algebra 299, 689--706 (2006) | 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. lattice ideal; set-theoretic complete intersection; monomial curve Eto, K., Set-theoretic complete intersection monomial curves in affine four space, J. algebra, 372, 463-479, (2012) | 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; monomial curve; minimal free resolution; rank 2 vector bundle; cohomology module Choi Y., Proc. of the A. M. S. 137 (12) pp 3999-- (2009) | 1 |
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 module of a monomial curve; minimal generating set; Cohen- Macaulayness; Gorenstein property DOI: 10.1080/00927878708823505 | 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 basis of the defining prime ideal of a curve; defining equations; projective monomial curves; binomials | 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. Gröbner basis; arithmetically Buchsbaum; Cohen-Macaulay curve; minimal generators of the homogeneous ideal of monomial projective 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. arithmetically Buchsbaum curve; Hartshorne-Rao module; minimal generating set for the homogeneous ideal Mutsumi Amasaki, Integral arithmetically Buchsbaum curves in \?³, J. Math. Soc. Japan 41 (1989), no. 1, 1 -- 8. | 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; space curve; Cohen-Macaulay ring; arithmetically Cohen- Macaulay curves; perfect ideal of a polynomial ring; ideal of forms vanishing at a finite set of points; Hilbert function of a complete intersection Davis, E. D.; Geramita, A. V.; Maroscia, P., Perfect homogeneous ideals: dubreil's theorems revisited, Bull. Sc. Math., 2e Série, 108, 143-185, (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. toric ideal; complete intersection; minimal set of generators; minor; binary matroid García-Marco, I.; Ramírez, J. L.: Matroid toric ideals: complete intersection, minors and minimal systems of generators. (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. monomial affine curve; monomial projective curve; complete intersection; minimal system of generators | 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. regular local ring; prime ideal of height 2; Gorensteinness of the symbolic Rees algebra; monomial curve Mayumi Morimoto and Shiro Goto, Non-Cohen-Macaulay symbolic blow-ups for space monomial curves, Proc. Amer. Math. Soc. 116 (1992), no. 2, 305 -- 311. | 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. degeneration; flat families of subschemes; codimension two; subcanonical space curves; complete intersection space 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. zero-dimensional fat points schemes; smooth quadric; arithmetically Cohen-Macaulay; complete intersection; minimal set of generators Guardo E.: Fat points schemes on a smooth quadric. J. Pure Appl. Algebra 162, 183--208 (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. set-theoretic intersection of binomial surface; monomial curve DOI: 10.1080/00927879808826247 | 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. nunmber of generators of polynomial ideal; height two local complete intersection ideal | 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 curve; set-theoretic complete intersection Moh T.T.: Set-theoretic complete intersections. Proc. Amer. Math. Soc. 94, 217--220 (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. algebraic curve; set-theoretic complete intersection; monomial curve; numerical semigroup | 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. deficiency module; codimension; complete intersection; number of generators of ideal; Dubreil's theorem; locally Cohen-Macaulay subscheme; Koszul homologies Martin, H. M.; Migliore, J. C.: Submodules of the deficiency modules and an extension of dubreil's theorem. (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. regular minimal model of curve; Arakelov intersection; boundedness of the average height of Weierstrass points Burnol J.-F.: Weierstrass points on arithmetic surfaces. Invent. Math. 107, 421--432 (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. deformation; licci ideal; linkage class of a complete intersection; Cohen-Macaulay; Gorenstein; symbolic powers of prime ideals Huneke; Ulrich: Powers of licci ideals. Commutative algebra, (Berkeley, CA, 1987), mathematical sciences research institute publications 15, 339-346 (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. quasi-homogeneous Gorenstein surface singularities; equality of the Milnor and Tyurina numbers; isolated complete intersection surface singularities; irregularity; equisingular deformations J. M. Wahl, A characterization of quasihomogeneous Gorenstein surface singularities, Compos. Math., 55 (1985), 269--288. MR799816 (87e:32013) | 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 function of reduced irreducible arithmetically Cohen-Macaulay curve; linkage; minimal generators; liaison; Hilbert-function of a complete intersection Maggioni, R.; Ragusa, A.: Construction of smooth curves of P3 with assigned Hilbert function and generators' degrees. Le matematiche 42 (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. arithmetical rank; cohomological dimension; varieties of minimal degree; 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. arithmetical rank; monomial ideals; ideal intersection; set-theoretic complete intersection Barile M.: On the arithmetical rank of an intersection of ideals. Algebra Colloq. 15, 681--688 (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. monomial curve; value semigroup; minimal set of generators Patil D.P.: Minimal sets of generators for the relation ideal of certain monomial curves. Manuscr. Math. 80, 239--248 (1993) | 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. numerical semigroups; symmetric numerical semigroups; Apéry set; Frobenius number; minimal presentation; monomial curves; Gröbner basis; syzygies; Betti numbers; derivation module; complete intersection; Francia's conjecture; blowup algebras; 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. curve in 4-space; curve in 3-space; minimal generating system; set-theoretic complete intersections Eto, K., Almost complete intersection monomial curves in \(\mathbb{A}^4\), Comm. Algebra, 22, 13, 5325-5342, (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. Subalgebra of a quantized universal enveloping algebra; invariant prime ideal; Schubert cell; Demazure module; generating set; Bruhat interval; torus orbit; flag variety; Poisson structure; symplectic leaf; quantum matrix M. Yakimov, \textit{Invariant prime ideals in quantizations of nilpotent Lie algebras}, Proc. Lond. Math. Soc. (3) \textbf{101} (2010), no. 2, 454-476. | 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 Noetherian ring; ideal; height; minimum number of generators; complete intersection; conormal module; analytic spread; projective dimension; canonical module; Cohen-Macaulay ideals; Gorenstein ideals DOI: 10.1016/0022-4049(85)90023-4 | 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. equivalence problem; minimal rational curve; complete intersection; variety of minimal rational tangents (VMRT) | 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 complete intersection; algorithm; generator of ideal of 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. determinantal ideal; height; Jacobian matrix; excellent regular local ring; regular sequence; \(R_{n+1}\); minimal generating set; isolated 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. regular minimal model of curve; Arakelov intersection; boundedness of the average height of Weierstrass points Jean-François Burnol, Weierstrass points on arithmetic surfaces, Invent. Math. 107 (1992), no. 2, 421 -- 432. | 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. unobstructed curve; Castelnuovo bound; index of regularity; k-Buchsbaum; arithmetically Buchsbaum quasi-complete intersection 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. coefficients of Hilbert-Kunz function; Hilbert-Kunz density function; \(\beta\)-density function; projective toric variety; height one monomial prime ideal; convex geometry | 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 Gorenstein ideal; \(G\)-liaison; complete intersection; free resolution of Gorenstein ideal; arithmetically Gorenstein scheme Bocci, C; Dalzotto, G; Notari, R; Spreafico, ML, An iterative construction of Gorenstein ideals, Trans. Am. Math. Soc., 354, 1417-1444, (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. monomial curve; Gröbner bases; minimal number of generators of defining ideal Bresinsky, H.: Binomial generating sets for monomial curves, with applications of \%plane1D;538;4. Rend. sem, mat. Univers. politec. Torino 46, No. 3, 353-370 (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. monoid ring; polynomial ring; complete intersection ideal; complete intersection monomial curve DOI: 10.3836/tjm/1270043620 | 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. arithmetical rank; monomial ideal; set theoretic complete intersection Barile, M; Terai, N, The Stanley-Reisner ideals of polygons as set-theoretic complete intersections, Commun. Algebra, 39, 621-633, (2011) | 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. liaison; Hilbert function; number of minimal generators; complete intersection; minimal linkage; monomial ideals Campanella, G.: Homogeneous polynomial ideals: standard bases and liaison. J. pure appl. Algebra 64, 119-130 (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. derivations; algebroid monomial curve; minimal set of generators; Patil basis; algorithm Patil, D., Sengupta, I.: Minimal set of generators for the derivation module of certain monomial curves. Commun. Algebra 27(1), 5619--5631 (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. moduli space of stable maps; quasi-homogeneity; homogeneous spaces; curve neighborhoods; minimal degrees in quantum products Bärligea, C., Quasi-homogeneity of the moduli space of stable maps to homogeneous spaces, Doc. Math., 23, 697-745, (2018), available at | 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 resolution; almost complete intersection; monomial ideal Charalambous H., Resolutions of monomial almost complete intersections and generalizations | 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 flags; Drinfeld compactification; Laumon compactification; Kontsevich compactification; cell decomposition; Poincaré polynomial; rational curve; quasi-maps; stable maps; quasi-flags; small resolution of singularities; intersection cohomology Finkelberg M., Kuznetsov A.: Global intersection cohomology of Quasimaps' spaces. Int. Math. Res. Notices 7, 301--328 (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. deformation; existence of liftings in polynomial rings; homogeneous complete intersection ideal | 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. family of monomial curves; minimal generating set Henrik Bresinsky and Lê Tuân Hoa, Minimal generating sets for a family of monomial curves in \?\(^{4}\), Commutative algebra and algebraic geometry (Ferrara), Lecture Notes in Pure and Appl. Math., vol. 206, Dekker, New York, 1999, pp. 5 -- 14. | 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 grade 3; linkage; minimal free resolution; perfect ideal of grade 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. set-theoretical complete intersection; connectedness; monomial ideal Nagel, U., Vogel, W., Über mengentheoretische Durchschnitte und Zusammenhang algebraischer Mannigfaltigkeiten, Arch. Math. (Basel), 49 (1987), 414-419. | 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 projective curve; minimal set of generators; Hilbert function; complexity; algorithm; Gröbner bases; Castelnuovo-Mumford regularity; CoCoA; Singular Albano, G.; Cioffi, F.; Orecchia, F.; Ramella, I.: Minimally generating ideals of rational parametric curves in polynomial time. J. symb. Comput. (to appear) (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. embedding smooth toric varieties; complete intersection; zero locus of finitely many homogeneous monomial equations | 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. Weierstraß gap sequences; non-hyperelliptic complete irreducible algebraic curves; non-trigonality; minimal set of generators of the canonical ideal G. Oliveira, Weierstrass semigroups and the canonical ideal of non-trigonal curves. Manuscripta Math. 71, 431--450 (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. monomial curve; relation matrix; vanishing ideal of a curve; complete intersections W.Gastinger, E.Kunz and R.Waldi, Relation matrices of monomial curves. Preprint 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. classification of monoidal surfaces; curve which is not 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. monomial curve; set-theoretically complete intersection Shalom Eliahou, Idéaux de définition des courbes monomiales, Complete intersections (Acireale, 1983) Lecture Notes in Math., vol. 1092, Springer, Berlin, 1984, pp. 229 -- 240 (French). | 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 curve; toric ideal; complete intersection Bermejo, I.; García-Marco, I.; Salazar-Gónzalez, J. J.: An algorithm for checking whether the toric ideal of an affine monomial curve is a complete intersection. J. symb. Comput. 42, 971-991 (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. monomial curve; graded Betti numbers of the minimal free resolution; Cohen-Macaulay Campillo, A.; Giménez, Ph.: Graphes arithmétiques et syzygies. C. R. Acad. sci. Paris 324, 313-316 (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. set theoretic complete intersection curves; monoidal surfaces of degree 4 | 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. homology reduction of cycles; complete intersection; Poincaré's theorem; 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; periodicity of minimal free resolution; regular local ring; matrix factorization D. Eisenbud, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 (1980), no. 1, 35-64. | 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. determinantal conditions; resolution of ideal; linkage; residual intersection; Koszul complex; complete intersection Bruns, W.; Kustin, A. R.; Miller, M., The resolution of the generic residual intersection of a complete intersection, J. Algebra, 128, 214-239, (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. noetherian ring; height one prime ideal; resolution of singularities; rational 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. monomial space curve; complete intersection; bihomogeneous surface; arithmetically Cohen-Macaulay DOI: 10.1080/00927879408824877 | 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. ACM set of points; complete intersection; Cayley-Bacharach property; Kähler different | 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. graded ring; modules of differentials; minimal cotangent complex; Euler homomorphism; complete intersection; Poincaré series Avramov, L.L.; Herzog, J., Jacobian criteria for complete intersections, Invent. math., 117, 75-88, (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. polynomial ideal; set theoretical complete intersection; radical | 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; degree; genus; space curve David B. Jaffe, On set theoretic complete intersections in \?³, Math. Ann. 285 (1989), no. 1, 165 -- 176. , https://doi.org/10.1007/BF01442680 David B. Jaffe, Erratum: ''On set theoretic complete intersections in \?³'', Math. Ann. 285 (1989), no. 4, 700. | 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 ideal; quasi-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. primary powers of a prime ideal; local number of generators of an ideal; Gorenstein local domain; symbolic power; homogeneous prime ideal of the polynomial ring | 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. stable sheaf on variety of dimension bigger than one; complete intersection curve; stable bundle with zero Chern classes; irreducible unitary representation of fundamental group V.B. Mehta and A. Ramanathan, Restriction of stable sheaves and representations of the fundamental group. Inv. Math. 77 (1984), pp. 163--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. minimal compactification of a symmetric homogeneous space; intersection product; wonderful compactifications; Chow ring; torus embeddings De Concini, C.; Procesi, C., \textit{complete symmetric varieties II: intersection theory}, Algebraic groups and related topics (Kyoto/Nagoya, 1983), 481-513, (1985), North-Holland | 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. Koszul cohomology; duality theorem; vanishing theorems; Lefschetz theorems; image of a complex manifold; embedding; minimal free resolution of the ideal of the embedding of a smooth curve; Arbarello-Sernesi module; local Torelli theorems M. Green, Koszul cohomology and the cohomology of projective varieties, J. Differential Geom. 19 (1984), 125-171. | 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 surfaces; blow-up; minimal free resolution of the homogeneous ideal Holay, S. H.: Free resolutions of the defining ideal of certain rational surfaces. Manuscripta math. 90, No. 1, 23-37 (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. projective space curve; degree; genus; smooth connected set-theoretic complete intersection R. Paoletti, ''Some remarks on set-theoretic intersection curves in \(\mathbb{P}\)3, Atti Accad. Naz. Lincei Rend., Matematica e Applicazioni, Ser. IX, vol. VII, (1996), 41--46. | 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 projection; quadruple point; vanishing homology; stable perturbations; unstable singularity; radial projection; node; embedded curve; ramphoidal cusp; tacnode; conductor ideal; isolated quasi-homogeneous singularities David Mond, Looking at bent wires --- \?\?-codimension and the vanishing topology of parametrized curve singularities, Math. Proc. Cambridge Philos. Soc. 117 (1995), no. 2, 213 -- 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; set theoretic complete intersection; lattices ideals; monomial curves; evaluation codes; toric ideals López, H; Villarreal, R, Complete intersections in binomial and lattice ideals, Int. J. Algebra Comput., 23, 1419-1429, (2013) | 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. blowing up of curve singularities; almost complete intersection curve; multiplicities of blow-ups Katz D., Comm. Algebra 22 pp 721-- (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. minimal number of equations; monomial ideal; arithmetical rank Barile M.: On the number of equations defining certain varieties. Manuscripta Math. 91, 483--494 (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. toric varieties; complete regular fan; bistellar flip; number of facets of a chamber; degenerations of monomial ideals; toric ideal; Gröbner basis | 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 toric ideal; graph; complete intersection Bermejo, I; García-Marco, I; Reyes, E, Graphs and complete intersection toric ideals, J. Algebra Appl., 14, 1540011, (2015) | 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. Cremona quartic curve; not set-theoretically a complete intersection P.C. Craighero - R. Gattazzo , The curve C = (\lambda 4, \lambda 3\mu , \lambda \mu 3, \mu 4) \subset P3 is not set-theoretic complete intersection of two quartic surfaces , Rend. Sem. Mat. Univ. Padova , 76 ( 1986 ), pp. 177 - 200 . Numdam | Zbl 0613.14025 | 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. Hilbert functions; defining ideal of point set in projective space; polynomial ring; number of generators of homogeneous perfect ideals; maximum number of generators Juan Elías, Lorenzo Robbiano, and Giuseppe Valla, Number of generators of ideals, Nagoya Math. J. 123 (1991), 39 -- 76. | 0 |
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