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A local duality principle in derived categories of commutative Noetherian rings

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 نشر من قبل Tsutomu Nakamura
 تاريخ النشر 2016
  مجال البحث
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Let R be a commutative Noetherian ring. We introduce the notion of colocalization functors with supports in arbitrary subsets of Spec R, which is a natural generalization of right derived functors of section functors with supports in specialization-closed subsets. We prove that the local duality theorem and the vanishing theorem of Grothendieck type hold for colocalization functors.



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