A note on Deligne's formula

DOI10.1016/J.JPAA.2024.107754MaRDI QIDQ6597184

Peter Schenzel

Publication date: 3 September 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Čech cohomologylocal cohomologyweakly pro-regular sequencesDelige's formula

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15) Injective and flat modules and ideals in commutative rings (13C11) Sheaves in algebraic geometry (14F06)

Cites Work

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• Derived functors of \(I\)-adic completion and local homology
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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
• Local cohomology. An algebraic introduction with geometric applications
• Self-Injective Rings
• Local homology and cohomology on schemes
• Proregular sequences, local cohomology, and completion
• Completion, Čech and Local Homology and Cohomology
• Torsion of injective modules and weakly pro-regular sequences
• About proregular sequences and an application to prisms
• On pro-zero homomorphisms and sequences in local (co-)homology

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