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

Let \(\mathcal{Z}\) be a specialization closed subset of \(\Spec R\) and \(X\) a homologically left-bounded complex with finitely generated homologies. We establish Faltings' Local-global Principle and Annihilator Theorems for the local cohomology modules {{\(\H_{\mathcal{Z}}^i(X).\) }} Our ver...

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Bibliographic Details
Published in:arXiv.org 2018-07
Main Authors: Divaani-Aazar, Kamran, Zargar, Majid Rahro
Format: Article
Language:English
Subjects:
Homology
Theorems
Online Access:Get full text
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Summary:Let \(\mathcal{Z}\) be a specialization closed subset of \(\Spec R\) and \(X\) a homologically left-bounded complex with finitely generated homologies. We establish Faltings' Local-global Principle and Annihilator Theorems for the local cohomology modules {{\(\H_{\mathcal{Z}}^i(X).\) }} Our versions contain variations of results already known on these theorems.
ISSN:2331-8422