The construction of some Gorenstein ideals of codimension \(4\)

DOI10.1016/S0022-4049(96)00179-XzbMath0929.13003OpenAlexW2008325047MaRDI QIDQ1295512

Yong Su Shin

Publication date: 24 January 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(96)00179-x

zbMATH Keywords

\(k\)-configurationgenerators of an idealGorenstein ideal of codimension 4

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Linkage, complete intersections and determinantal ideals (13C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Low codimension problems in algebraic geometry (14M07) Configurations and arrangements of linear subspaces (14N20)

Related Items (3)

Generic initial ideals and graded Artinian-level algebras not having the weak-Lefschetz property ⋮ \(k\)-configurations in \(\mathbb{P}^3\) all have extremal resolutions ⋮ Extremal point sets and Gorenstein ideals

Uses Software

• Macaulay2

Cites Work

• On Hilbert functions of reduced and of integral algebras
• Liaison des variétés algébriques. I
• Smooth points of \(\text{Gor}(T)\)
• Some examples of unimodal Gorenstein sequences
• Reduced Gorenstein codimension three subschemes of projective space
• The Hilbert Function of a Reduced K -Algebra
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3

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