On Grothendieck's local duality theorem

DOI10.1017/S0305004100055870zbMath0402.13011OpenAlexW2166089448MaRDI QIDQ4186458

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Publication date: 1979

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

Full work available at URL: https://doi.org/10.1017/s0305004100055870

zbMATH Keywords

Local CohomologyDualizing ComplexLocal Duality Theorem of GrothendieckNoetherian Local Ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Local cohomology and algebraic geometry (14B15) Injective and flat modules and ideals in commutative rings (13C11) Local rings and semilocal rings (13H99)

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On the singular sets of a module, A STUDY OF COUSIN COMPLEXES THROUGH THE DUALIZING COMPLEXES, A generalization of the dualizing complex structure and its applications

Cites Work

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• Injective modules over Noetherian rings
• 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
• Some Results on the Vanishing of Local Cohomology Modules
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES