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

DOI10.55730/1300-0098.3389OpenAlexW4360593257MaRDI QIDQ5888341

Nil Şahin

Publication date: 24 April 2023

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.13494

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)

Uses Software

• SINGULAR

Cites Work

• Unnamed Item
• 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 the depth of the tangent cone and the growth of the Hilbert function
• On pseudo symmetric monomial curves
• Cohen-Macaulayness of tangent cones
• 4-generated pseudo symmetric monomial curves with not Cohen–Macaulay tangent cones
• Hilbert series of tangent cones for Gorenstein monomial curves in A4(K)
• Minimal Free Resolutions of the Tangent Cones of Gorenstein Monomial Curves
• The Value-Semigroup of a One-Dimensional Gorenstein Ring

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