A characterization of cofinite complexes over complete Gorenstein domains

DOI10.1216/JCA-2011-3-4-537zbMath1252.13010OpenAlexW2009189980MaRDI QIDQ412563

Kazufumi Eto, Ken-ichiroh Kawasaki

Publication date: 4 May 2012

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

Full work available at URL: https://projecteuclid.org/euclid.jca/1323364356

zbMATH Keywords

local cohomologyabelian categorycofinite modules

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Local cohomology and algebraic geometry (14B15)

Related Items (5)

On the characterizations of cofinite complexes over affine curves and hypersurfaces ⋮ On a characterization of cofinite complexes. Addendum to ``On a category of cofinite modules which is abelian ⋮ On the category of confinite modules for principal ideals ⋮ A new outlook on cofiniteness ⋮ The category of cofinite modules for ideals of dimension one and codimension one

Cites Work

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• On a category of cofinite modules which is abelian
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Affine duality and cofiniteness
• On the finiteness of Bass numbers of local cohomology modules
• Cofiniteness and vanishing of local cohomology modules
• Properties of cofinite modules and applications to local cohomology

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