The derived category analogues of Faltings Local-global Principle and Annihilator Theorems

DOI10.1142/S0219498819501408zbMath1422.13019arXiv1807.03056MaRDI QIDQ5230106

Kamran Divaani-Aazar, Majid Rahro Zargar

Publication date: 20 August 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03056

zbMATH Keywords

derived categorylocal cohomologyfiniteness dimensionadjusted depthspecialization closed set.

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15) Derived categories and commutative rings (13D09)

Related Items (3)

Coserreness with respect to specialization closed subsets and some Serre subcategories ⋮ Lower bounds of certain general local cohomology modules ⋮ Faltings' annihilator theorem and \(t\)-structures of derived categories

Cites Work

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• Abstract local cohomology functors
• Local-global principle for annihilation of general local cohomology
• Faltings’ theorem for the annihilation of local cohomology modules over a Gorenstein ring
• A new version of Local-Global Principle for annihilations of local cohomology modules
• On Faltings' annihilator theorem

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