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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Cambridge Studies in Advanced Mathematics |
Release date: |
December 2019 |
Authors: |
Amnon Yekutieli
|
Dimensions: |
234 x 158 x 38mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
370 |
ISBN-13: |
978-1-108-41933-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
1-108-41933-X |
Barcode: |
9781108419338 |
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