Minimal Free Resolutions of the Tangent Cones of Gorenstein Monomial Curves

zbMath1439.13066arXiv1801.04956MaRDI QIDQ5214056

Esra Emine Zengin, Pinar Mete

Publication date: 6 February 2020

Full work available at URL: https://arxiv.org/abs/1801.04956

zbMATH Keywords

tangent conesminimal free resolutionsGorenstein monomial curves

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 (4)

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 ⋮ 4-generated pseudo symmetric monomial curves with not Cohen–Macaulay tangent cones ⋮ BETTI NUMBERS FOR CERTAIN COHEN–MACAULAY TANGENT CONES

Uses Software

• SINGULAR

Cites Work

• On free resolutions of some semigroup rings
• Symmetric semigroups of integers generated by 4 elements
• Betti numbers for numerical semigroup rings
• One-dimensional Gorenstein local rings with decreasing Hilbert function
• What makes a complex exact?
• Hilbert functions of Gorenstein monomial curves
• On the Depth of the Symmetric Algebra
• On pseudo symmetric monomial curves
• On the Cohen–Macaulayness of tangent cones of monomial curves inA4(K)
• The Value-Semigroup of a One-Dimensional Gorenstein Ring
• Unnamed Item
• Unnamed Item

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