On the Cohen–Macaulayness of tangent cones of monomial curves inA4(K)

DOI10.3906/mat-1805-99zbMath1420.13055arXiv1512.04204OpenAlexW2964264735WikidataQ127768549 ScholiaQ127768549MaRDI QIDQ5229853

Feza Arslan, Unnamed Author, Anargyros Katsabekis

Publication date: 19 August 2019

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

Full work available at URL: https://arxiv.org/abs/1512.04204

zbMATH Keywords

tangent coneCohen-Macaulaymonomial curve

Mathematics Subject Classification ID

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

Related Items (4)

Minimal Free Resolutions of the Tangent Cones of Gorenstein Monomial Curves ⋮ One-dimensional Gorenstein local rings with decreasing Hilbert function ⋮ On the Betti numbers of the tangent cones for Gorenstein monomial curves ⋮ Hilbert series of tangent cones for Gorenstein monomial curves in A4(K)

Cites Work

• On the defining equations of the tangent cone of a numerical semigroup ring
• A note on Gorenstein monomial curves
• CM defect and Hilbert functions of monomial curves
• Associated graded rings of one-dimensional analytically irreducible rings
• Computation of Hilbert functions
• Symmetric semigroups of integers generated by 4 elements
• One-dimensional Gorenstein local rings with decreasing Hilbert function
• On the Hilbert function of certain rings of monomial curves
• On monomial curves obtained by gluing
• Minimal free resolution of the associated graded ring of monomial curves of generalized arithmetic sequences
• An indispensable classification of monomial curves in \(\mathbb{A}^4(k)\)
• Generators and relations of abelian semigroups and semigroup rings
• Hilbert functions of Gorenstein monomial curves
• When is a regular sequence super regular?
• Cohen-macaulayness of the associated graded of a semigroup rings
• On pseudo symmetric monomial curves
• The short resolution of a lattice ideal
• The Value-Semigroup of a One-Dimensional Gorenstein Ring
• Unnamed Item
• Unnamed Item

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