arXiv 1807.030562018-07-09math.AC

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

Kamran Divaani-Aazar, Majid Rahro Zargar

备注：: It will appear in Journal of Algebra and its applications

英文摘要：

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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