Generalized local cohomology and regularity of Ext modules

DOI10.1016/j.jalgebra.2007.11.032zbMath1144.13008arXivmath/0701509OpenAlexW2041307787MaRDI QIDQ934076

Kamran Divaani-Aazar, Marc Chardin

Publication date: 29 July 2008

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

Full work available at URL: https://arxiv.org/abs/math/0701509

zbMATH Keywords

Castelnuovo-Mumford regularitylocal cohomology

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (8)

Hilbert-Kirby polynomials in generalized local cohomology modules ⋮ Regularity bounds for complexes and their homology ⋮ A duality theorem for generalized local cohomology ⋮ Castelnuovo-Mumford regularity of Ext modules and homological degree ⋮ On the cofiniteness of generalized local cohomology modules ⋮ An asymptotic bound for Castelnuovo-Mumford regularity of certain Ext modules over graded complete intersection rings ⋮ On the cofiniteness of small-level generalized local cohomology modules ⋮ The (ir)regularity of Tor and Ext

Uses Software

• Macaulay2

Cites Work

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• On the generalized local cohomology and its duality
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Generalized section functors
• Duality and vanishing of generalized local cohomology
• Castelnuovo-Mumford regularity of products of ideals
• On the regularity over positively graded algebras
• Finite regularity and Koszul algebras
• On the CastelnuovoMumford regularity of products of ideal sheaves
• Bounds on the Castelnuovo-Mumford regularity of tensor products
• Liaison and Castelnuovo-Mumford regularity
• The regularity of Tor and graded Betti Numbers

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