Maximal Cohen-Macaulay modules and Tate cohomology

Maximal Cohen-Macaulay modules and Tate cohomology / Ragnar-Olaf Buchweitz ; with appendices by Luchezar L. Avramov, Benjamin Briggs, Srikanth B. Iyengar, Janina C. Letz.

This book is a lightly edited version of the unpublished manuscript Maximal Cohen-Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz.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...

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Bibliographic Details
Main Author: Buchweitz, Ragnar-Olaf, 1952- (Author)
Other Authors: Avramov, L. L. (Luchezar L.), 1948- (Contributor), Briggs, Benjamin (Mathematician) (Contributor), Iyengar, Srikanth, 1970- (Contributor), Letz, Janina C. (Contributor)
Format: Book
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2021]
Series:Mathematical surveys and monographs ; no. 262.
Subjects:
Cohen-Macaulay modules.
Modules (Algebra)
Homology theory.
Description
Summary:This book is a lightly edited version of the unpublished manuscript Maximal Cohen-Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz.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 singular.
Physical Description:xii, 175 pages : illustrations ; 26 cm.
Bibliography:Includes bibliographical references and index.
ISBN:9781470453404
1470453401
ISSN:0076-5376 ;

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