The category of cofinite modules for ideals of dimension one and codimension one

DOI10.5802/ACIRM.48zbMath1439.14025OpenAlexW2315162800MaRDI QIDQ4682446

Ken-ichiroh Kawasaki

Publication date: 18 September 2018

Published in: Actes des rencontres du CIRM (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/14b2b22d34e7ccf7f539f060e28edab0d0b1bb12

zbMATH Keywords

derived categoryabelian categorycofinite modulecofinite complex

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 (1)

On the category of cofinite modules which is Abelian

Cites Work

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• 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
• Cofiniteness and vanishing of local cohomology modules

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