Derived Categories - Grand Format

Edition en anglais

Amnon Yekutieli

Note moyenne 
There have been remarkably few systematic expositions of the theory of derived categories since its inception in the work of Grothendieck and Verdier... Lire la suite
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Résumé

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.

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L'éditeur en parle

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.

À propos de l'auteur

Biographie d'Amnon Yekutieli

EDITORIAL BOARD : Béla BOLLOBÁS University of Memphis ; William FULTON Universit of Michigan ; Frances KIRWAN University of Oxford ; Peter SAMAK Princeton University ; Barry SIMON California Institute of Technology ; Burt TOTARO University of California, Los Angeles.

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