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arXiv · 1807.03056

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

Kamran Divaani-Aazar·Majid Rahro Zargar
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Abstract

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.

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Kamran Divaani-Aazar, Majid Rahro Zargar. 2018-07-09. The derived category analogues of Faltings' Local-global Principle and Annihilator Theorems. https://arxiv.org/abs/1807.03056

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