On Faltings' annihilator theorem

DOI10.1090/S0002-9939-07-09128-9zbMath1130.13010arXivmath/0610312MaRDI QIDQ5441161

Takesi Kawasaki

Publication date: 8 February 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610312

zbMATH Keywords

local cohomologyannihilators of local cohomologyCousin complexes

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

Faltings' annihilator theorem and \(t\)-structures of derived categories ⋮ The derived category analogues of Faltings Local-global Principle and Annihilator Theorems ⋮ Annihilators of local cohomology modules over a Cohen-Macaulay ring

Cites Work

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• 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
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Faltings’ theorem for the annihilation of local cohomology modules over a Gorenstein ring
• Uniform annihilation of local cohomology and of Koszul homology
• Finiteness of cousin cohomologies
• Uniform Annihilation of Local Cohomology Modules Over a Gorenstein Ring

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