Maximal Cohen-Macaulay Modules and Tate Cohomology (Paperback)

This book is a lightly edited version of the unpublished manuscript Maximal Cohen-Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz. The central objects of study are maximal Cohen-Macaulay modules over (not necessarily commutative) Gorenstein rings. The main result is that the stable category of maximal Cohen-Macaulay modules over a Gorenstein ring is equivalent to the stable derived category and also to the homotopy category of acyclic complexes of projective modules. This assimilates and significantly extends earlier work of Eisenbud on hypersurface singularities. There is also an extensive discussion of duality phenomena in stable derived categories, extending Tate duality on cohomology of finite groups. Another noteworthy aspect is an extension of the classical BGG correspondence to super-algebras. There are numerous examples that illustrate these ideas. The text includes a survey of developments subsequent to, and connected with, Buchweitz's manuscript.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Mathematical Surveys and Monographs
Release date:	October 2021
Authors:	Ragnar Olaf- Buchweitz
Dimensions:	254 x 178 x 15mm (L x W x T)
Format:	Paperback
Pages:	175
ISBN-13:	978-1-4704-5340-4
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	1-4704-5340-1
Barcode:	9781470453404

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