Regularity and cohomology of Pfaffian thickenings

DOI10.1216/jca.2021.13.523zbMath1496.13027arXiv1711.02777OpenAlexW4206406523MaRDI QIDQ2074406

Michael D. Perlman

Publication date: 9 February 2022

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02777

zbMATH Keywords

regularityPfaffian varietiesthickenings

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Local cohomology and commutative rings (13D45)

Related Items (5)

Almost Gorenstein determinantal rings of symmetric matrices ⋮ Bounding the degrees of the defining equations of Rees rings for certain determinantal and Pfaffian ideals ⋮ Frobenius methods in combinatorics ⋮ Socle degrees for local cohomology modules of thickenings of maximal minors and sub-maximal Pfaffians ⋮ Lyubeznik numbers for Pfaffian rings

Uses Software

• Macaulay2

Cites Work

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• Young diagrams and ideals of Pfaffians
• On the resolutions of the powers of the Pfaffian ideals
• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Cohomology and toric varieties and local cohomology with monomial supports
• Lyubeznik numbers for Pfaffian rings
• Local cohomology with support in ideals of maximal minors and sub-maximal Pfaffians
• Local cohomology with support in ideals of symmetric minors and Pfaffians
• A family of complexes associated to an almost alternating map, with applications to residual intersections
• Regularity and cohomology of determinantal thickenings
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Stabilization of the cohomology of thickenings

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