4-generated pseudo symmetric monomial curves with not Cohen–Macaulay tangent cones

DOI10.3906/mat-1910-92zbMath1493.13032arXiv1911.07483OpenAlexW3102939879MaRDI QIDQ5099816

Nil Şahin

Publication date: 26 August 2022

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

Full work available at URL: https://arxiv.org/abs/1911.07483

zbMATH Keywords

Hilbert functiontangent conestandard basesnumerical semigroupmonomial curve

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 (1)

On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves

Cites Work

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• Monomial curve families supporting Rossi's conjecture
• On the defining equations of the tangent cone of a numerical semigroup ring
• On the existence of Weierstrass points with a certain semigroup generated by 4 elements
• Computation of Hilbert functions
• On semigroup rings with decreasing Hilbert function
• On the monotonicity of Hilbert functions
• Almost Gorenstein monomial curves in affine four space
• Hilbert functions of Gorenstein monomial curves
• Gluing and Hilbert functions of monomial curves
• On the Depth of the Symmetric Algebra
• On pseudo symmetric monomial curves
• Minimal Free Resolutions of the Tangent Cones of Gorenstein Monomial Curves
• The Value-Semigroup of a One-Dimensional Gorenstein Ring

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