The derived category analogues of Faltings' Local-global Principle and Annihilator Theorems
Abstract
Let Z be a specialization closed subset of 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 Zi(X). Our versions contain variations of results already known on these theorems.
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