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arXiv · 1111.6786

A unified approach to formal local cohomology and local Tate cohomology

Mohsen Asgharzadeh·Kamran Divaani-Aazar
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Abstract

Let R be a commutative Noetherian ring. We introduce a theory of formal local cohomology for complexes of R-modules. As an application, we establish some relations between formal local cohomology, local homology, local cohomology and local Tate cohomology through some natural isomorphisms. We investigate vanishing of formal local cohomology modules. Also, we give a characterization of Cohen-Macaulay complexes.

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Mohsen Asgharzadeh, Kamran Divaani-Aazar. 2011-11-29. A unified approach to formal local cohomology and local Tate cohomology. https://arxiv.org/abs/1111.6786

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