On Gorenstein ideals of codimension four

DOI10.1090/S0002-9939-1986-0854019-XzbMath0665.13011OpenAlexW1968695348MaRDI QIDQ3816179

Vasconcelos, Wolmer V., Rafael H. Villarreal

Publication date: 1986

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-1986-0854019-x

zbMATH Keywords

local Gorenstein ringstrongly Cohen-Macaulay idealhomology modules of a Koszul complexstrongly unobstructed ideal

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Ideals and multiplicative ideal theory in commutative rings (13A15) Low codimension problems in algebraic geometry (14M07)

Related Items (8)

On the structure of Gorenstein ideals of deviation two ⋮ Rees algebras and Koszul homology ⋮ Arithmetic of normal Rees algebras ⋮ Linkage and sums of ideals ⋮ Koszul Homology and the Structure of Low Codimension Cohen-Macaulay Ideals ⋮ Tangent algebras ⋮ The projective geometry of the Gale transform. ⋮ Minimal algebra resolutions for cyclic modules defined by Huneke-Ulrich ideals

Cites Work

• The Koszul algebra of a codimension 2 embedding
• Zur homologischen Dimension äußerer Potenzen von Moduln
• Freie Auflösungen äußerer Potenzen
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• On the Arithmetic and Homology of Algebras of Linear Type
• On the bettinumbers of finite pure and linear resolutions
• Deformation and Linkage of Gorenstein Algebras
• Gorenstein ideals of deviation two
• A Note on the Multiplicity of Cohen-Macaulay Algebras with Pure Resolutions
• Deformation von Cohen-Macaulay Algebren.
• The Syzygies of the Conormal Module
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Linkage and the Koszul Homology of Ideals
• Ideals with sliding depth
• Stable module theory

This page was built for publication: On Gorenstein ideals of codimension four