On the Hilbert Function of Four-Generated Numerical Semigroup Rings

DOI10.1007/978-3-030-40822-0_15zbMath1464.13022OpenAlexW3024771744MaRDI QIDQ5115900

Grazia Tamone, Anna Oneto

Publication date: 21 August 2020

Published in: Numerical Semigroups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-40822-0_15

zbMATH Keywords

Hilbert functionnumerical semigroup

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Arithmetic theory of semigroups (20M13)

Uses Software

• numericalsgps

Cites Work

• CM defect and Hilbert functions of monomial curves
• The conjecture of Sally on the Hilbert function for curve singularities
• On the Hilbert function of the tangent cone of a monomial curve
• One-dimensional local rings with reduced associated graded ring and their Hilbert functions
• On the Hilbert function of certain non Cohen-Macaulay one-dimensional rings
• One-dimensional Gorenstein local rings with decreasing Hilbert function
• On semigroup rings with decreasing Hilbert function
• On the Hilbert function of certain rings of monomial curves
• On the Apéry sets of monomial curves
• On monomial curves obtained by gluing
• Cartesian squares and ordinary singularities of curves
• Hilbert functions of Gorenstein monomial curves
• Gluing and Hilbert functions of monomial curves
• Ordinary Singularities with Decreasing Hilbert Function
• Cohen-macaulayness of the associated graded of a semigroup rings
• On the hilbert function of some non cohen-macaulay graded rings
• On the depth of the tangent cone and the growth of the Hilbert function
• Cohen-Macaulay Local Rings of Embedding Dimension e + d − 3
• numericalsgps, a GAP package for numerical semigroups