The family of perfect ideals of codimension 3, of type 2 with 5 generators

DOI10.1090/proc/14646zbMath1459.13012arXiv1812.09736OpenAlexW3009535399MaRDI QIDQ5111489

Witold Kraśkiewicz, Jai Laxmi, Ela Celikbas, Jerzy Weyman

Publication date: 27 May 2020

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

Full work available at URL: https://arxiv.org/abs/1812.09736

zbMATH Keywords

complete intersectionCohen-Macaulaycodimension threelinkage classperfect idealgeneric ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Syzygies, resolutions, complexes and commutative rings (13D02) Exterior algebra, Grassmann algebras (15A75)

Related Items (3)

Spinor structures on free resolutions of codimension four Gorenstein ideals ⋮ Schubert varieties and finite free resolutions of length three ⋮ Perfect modules with Betti numbers (2,6,5,1)

Uses Software

• Macaulay2

Cites Work

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• On the structure of free resolutions of length 3
• A structure theorem for a class of grade three perfect ideals
• The structure of linkage
• Liaison des variétés algébriques. I
• Linkage classes of grade 3 perfect ideals
• What makes a complex exact?
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Generic free resolutions and root systems
• Some branching formulas for Kac--Moody Lie algebras
• Free resolutions of Dynkin format and the licci property of grade $3$ perfect ideals
• A Note on Gorenstein Rings of Embedding Codimension Three

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