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Maximal Cohen-Macaulay modules and Tate cohomology /

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.
Table of Contents:
  • Notations and conventions
  • Perfect complexes and the stable derived category
  • The category of modules modulo projectives
  • Complete resolutions and the category of acyclic projective complexes
  • Maximal Cohen-Macaulay modules and Gorenstein rings
  • Maximal Cohen-Macaulay approximations
  • The Tate cohomology
  • Multiplicative structure, duality and support
  • First examples
  • Connection to geometry on projective super-spaces
  • Applications to singularities and hypersurfaces.