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

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.

arXiv commentIt will appear in Journal of Algebra and its applications