On a characterization of cofinite complexes. Addendum to ``On a category of cofinite modules which is abelian

DOI10.1007/s00209-013-1151-zzbMath1278.13016OpenAlexW2184928770MaRDI QIDQ379229

Ken-ichiroh Kawasaki

Publication date: 11 November 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-013-1151-z

zbMATH Keywords

local cohomologyabelian categorycofinite module

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local cohomology and commutative rings (13D45) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Derived categories and commutative rings (13D09)

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Cites Work

• Unnamed Item
• A characterization of cofinite complexes over complete Gorenstein domains
• On a category of cofinite modules which is abelian
• Affine duality and cofiniteness
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• COFINITE MODULES
• On the finiteness of Bass numbers of local cohomology modules
• Cofiniteness and vanishing of local cohomology modules