Adic reduction to the diagonal and a relation between cofiniteness and derived completion

DOI10.1090/proc/13662zbMath1407.13006arXiv1602.03874OpenAlexW3101078490MaRDI QIDQ4592739

Liran Shaul

Publication date: 8 November 2017

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

Full work available at URL: https://arxiv.org/abs/1602.03874

zbMATH Keywords

cohomologyderived functorNoetherian ringadic completion functor

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Completion of commutative rings (13B35) Torsion modules and ideals in commutative rings (13C12)

Related Items (4)

Extended local cohomology and local homology ⋮ Injective DG-modules over non-positive DG-rings ⋮ The homotopy theory of complete modules ⋮ Completion and torsion over commutative DG rings

Cites Work

• Extended local cohomology and local homology
• Hochschild cohomology commutes with adic completion
• Non-Noetherian Cohen-Macaulay rings
• Tensor product of dualizing complexes over a field
• Modules cofinite with respect to an ideal
• On the homology of completion and torsion
• Local homology and cohomology on schemes
• Proregular sequences, local cohomology, and completion
• Cohomologically Cofinite Complexes
• Support and adic finiteness for complexes
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