Background
Type: Article

Complete cohomology and Gorensteinness of schemes

Journal: Journal of Algebra (00218693)Year: 15 March 2008Volume: 319Issue: Pages: 2626 - 2651
BronzeDOI:10.1016/j.jalgebra.2007.11.020Language: English

Abstract

We develop and study Tate and complete cohomology theory in the category of sheaves of OX-modules. Different approaches are included. We study the properties of these theories and show their power in reflecting the Gorensteinness of the underlying scheme. The connection of these two theories will be discussed. © 2007 Elsevier Inc. All rights reserved.


Author Keywords

Cohomology of sheavesComplete cohomologyGorenstein schemeHomological dimensionLocally free sheaf