科研之友
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摘要
Let R be a commutative Noetherian ring. We introduce the notion of colocalization functors gamma w with supports in arbitrary subsets W of Spec R. If W is a specialization closed subset, then gamma w coincides with the right derived functor R Gamma w of the section functor Gamma w with support in W. We prove that the local duality theorem and the vanishing theorem of Grothendieck type hold for gamma w with W being an arbitrary subset.
- 出版日期2018-9
