The hilbert function and the minimal free resolution of some gorenstein ideals of codimension 4

DOI10.1080/00927879808826411zbMath0924.13016OpenAlexW1994652088MaRDI QIDQ4224031

Hyoung J. Ko, Yong Su Shin, Anthony V. Geramita

Publication date: 30 March 1999

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826411

zbMATH Keywords

polynomial ringBetti numbersGorenstein ideals of codimension 4preassigned Hilbert functionresolution of Gorenstein artinian quotients

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Complete intersections (14M10)

Related Items

Star-Configurations in ℙ²Having Generic Hilbert Function and the Weak Lefschetz Property, Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers., Lifting monomial ideals, Artinian level algebras of codimension 3, Unnamed Item, The Minimal Free Resolution of a Fat Star-Configuration in ℙⁿ, Maximal Cohen-Macaulay modules and Gorenstein algebras, Maximal families of Gorenstein algebras, Extremal point sets and Gorenstein ideals, Timelines and quantum time operators

Cites Work

• Unnamed Item
• On Hilbert functions of reduced and of integral algebras
• Liaison des variétés algébriques. I
• Hilbert functions of graded algebras
• A generalized liaison addition
• Some examples of unimodal Gorenstein sequences
• Irreducibility and dimension theorems for families of height 3 Gorenstein algebras
• Reduced Gorenstein codimension three subschemes of projective space
• The Hilbert Function of a Reduced K -Algebra
• A nonunimodal graded gorenstein artin algebra in codimension five
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3