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

Kamran Divaani-Aazar, Majid Rahro Zargar

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-globa…