Hilbert series of tangent cones for Gorenstein monomial curves in A4(K)

DOI10.3906/mat-2011-47zbMath1496.13037OpenAlexW3124296364MaRDI QIDQ5100227

Anargyros Katsabekis

Publication date: 29 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2011-47

zbMATH Keywords

Hilbert seriestangent coneCohen-MacaulayGorenstein monomial curve

Mathematics Subject Classification ID

Commutative semigroups (20M14) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Singularities of curves, local rings (14H20)

Related Items (2)

On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves ⋮ On the Betti numbers of the tangent cones for Gorenstein monomial curves

Uses Software

• SINGULAR

Cites Work

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• Computation of Hilbert functions
• Symmetric semigroups of integers generated by 4 elements
• Hilbert functions of Gorenstein monomial curves
• On the Cohen–Macaulayness of tangent cones of monomial curves inA4(K)
• The Value-Semigroup of a One-Dimensional Gorenstein Ring

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