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Derived categories

Yekutieli, Amnon.

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Derived categories

Record Type:	Electronic resources : Monograph/item
Title/Author:	Derived categories/ Amnon Yekutieli.
Author:	Yekutieli, Amnon.
Published:	Cambridge :Cambridge University Press, : 2020.,
Description:	xi, 607 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 21 Nov 2019).
Subject:	Derived categories (Mathematics) -
Online resource:	https://doi.org/10.1017/9781108292825
ISBN:	9781108292825

Derived categories
Yekutieli, Amnon.

Derived categories[electronic resource] /Amnon Yekutieli. - Cambridge :Cambridge University Press,2020. - xi, 607 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;183. - Cambridge studies in advanced mathematics ;183..

Title from publisher's bibliographic system (viewed on 21 Nov 2019).

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.

ISBN: 9781108292825Subjects--Topical Terms:

1575366
Derived categories (Mathematics)

LC Class. No.: QA169 / .Y44 2020

Dewey Class. No.: 512.55

Derived categories
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245 1 0 $a Derived categories $h [electronic resource] / $c Amnon Yekutieli.
260 $a Cambridge : $b Cambridge University Press, $c 2020.
300 $a xi, 607 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 183
500 $a Title from publisher's bibliographic system (viewed on 21 Nov 2019).
520 $a 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.
650 0 $a Derived categories (Mathematics) $3 1575366
830 0 $a Cambridge studies in advanced mathematics ; $v 183. $3 3470669
856 4 0 $u https://doi.org/10.1017/9781108292825