| Derived Categories Contributor(s): Yekutieli, Amnon (Author) |
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ISBN: 110841933X ISBN-13: 9781108419338 Publisher: Cambridge University Press OUR PRICE: $89.29 Product Type: Hardcover - Other Formats Published: January 2020 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General |
| Dewey: 512.64 |
| LCCN: 2019038214 |
| Series: Cambridge Studies in Advanced Mathematics |
| Physical Information: 1.4" H x 5.2" W x 8.1" (2.20 lbs) 370 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: There have been remarkably few systematic expositions of the theory of derived categories since its inception in the work of Grothendieck and Verdier in the 1960s. This book is the first in-depth treatment of this important component of homological algebra. It carefully explains the foundations in detail before moving on to key applications in commutative and noncommutative algebra, many otherwise unavailable outside of research articles. These include commutative and noncommutative dualizing complexes, perfect DG modules, and tilting DG bimodules. Written with graduate students in mind, the emphasis here is on explicit constructions (with many examples and exercises) as opposed to axiomatics, with the goal of demystifying this difficult subject. Beyond serving as a thorough introduction for students, it will serve as an important reference for researchers in algebra, geometry and mathematical physics. |
Contributor Bio(s): Yekutieli, Amnon: - Amnon Yekutieli is Professor of Mathematics at Ben-Gurion University of the Negev, Israel. His research interests are in algebraic geometry, ring theory, derived categories and deformation quantization. He has taught several graduate-level courses on derived categories and has published three previous books. |