Hilbert functions of Gorenstein monomial curves

DOI10.1090/S0002-9939-07-08793-XzbMath1151.13019MaRDI QIDQ3432754

Pinar Mete, Feza Arslan

Publication date: 18 April 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Gorenstein ringHilbert functiontangent conemonomial curvestandard basis

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Singularities of curves, local rings (14H20)

Related Items

Minimal Free Resolutions of the Tangent Cones of Gorenstein Monomial Curves, On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves, Minimal free resolution of the associated graded ring of monomial curves of generalized arithmetic sequences, On pseudo symmetric monomial curves, Monomial curve families supporting Rossi's conjecture, One-dimensional Gorenstein local rings with decreasing Hilbert function, On semigroup rings with decreasing Hilbert function, On the Betti numbers of the tangent cones for Gorenstein monomial curves, 4-generated pseudo symmetric monomial curves with not Cohen–Macaulay tangent cones, Hilbert series of tangent cones for Gorenstein monomial curves in A4(K), On the associated graded ring of semigroup algebras, On the Hilbert Function of Four-Generated Numerical Semigroup Rings, Homogeneous numerical semigroups, On monomial curves obtained by gluing, CM defect and Hilbert functions of monomial curves, LIFTINGS OF A MONOMIAL CURVE, Producing set-theoretic complete intersection monomial curves in ℙⁿ, Gluing and Hilbert functions of monomial curves, On the Cohen–Macaulayness of tangent cones of monomial curves inA4(K)

Uses Software

• Macaulay2
• SINGULAR

Cites Work

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