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Maximal Cohen–Macaulay Modules and Tate Cohomology
About this Title
Ragnar-Olaf Buchweitz. Edited by Luchezar L. Avramov, University of Nebraska, Lincoln, NE, Benjamin Briggs, University of Utah, Salt Lake City, UT, Srikanth B. Iyengar, University of Utah, Salt Lake City, UT and Janina C. Letz, Bielefeld University, Bielefeld, Germany
Publication: Mathematical Surveys and Monographs
Publication Year:
2021; Volume 262
ISBNs: 978-1-4704-5340-4 (print); 978-1-4704-6792-0 (online)
DOI: https://doi.org/10.1090/surv/262
Table of Contents
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Front/Back Matter
Chapters
- 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
- Comments and errata
- Gorenstein Noether algebras
- Subsequent developments
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