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Group cohomology and algebraic cycles

Totaro, Burt.

Group cohomology and algebraic cycles

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Group cohomology and algebraic cyclesBurt Totaro.
其他題名:	Group Cohomology & Algebraic Cycles
作者:	Totaro, Burt.
出版者:	Cambridge :Cambridge University Press,2014.
面頁冊數:	xvi, 228 p. :ill., digital ;24 cm.
標題:	Homology theory.
電子資源:	https://doi.org/10.1017/CBO9781139059480
ISBN:	9781139059480$q(electronic bk.)

Group cohomology and algebraic cycles
Totaro, Burt.

Group cohomology and algebraic cycles[electronic resource] /Group Cohomology & Algebraic CyclesBurt Totaro. - Cambridge :Cambridge University Press,2014. - xvi, 228 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;204. - Cambridge tracts in mathematics ;96..

Group cohomology reveals a deep relationship between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly. This book presents a coherent suite of computational tools for the study of group cohomology and algebraic cycles. Early chapters synthesize background material from topology, algebraic geometry, and commutative algebra so readers do not have to form connections between the literatures on their own. Later chapters demonstrate Peter Symonds's influential proof of David Benson's regularity conjecture, offering several new variants and improvements. Complete with concrete examples and computations throughout, and a list of open problems for further study, this book will be valuable to graduate students and researchers in algebraic geometry and related fields.

ISBN: 9781139059480$q(electronic bk.)Subjects--Topical Terms:

205880
Homology theory.

LC Class. No.: QA612.3 / .T68 2014

Dewey Class. No.: 512.64

Group cohomology and algebraic cycles
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520 $a Group cohomology reveals a deep relationship between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly. This book presents a coherent suite of computational tools for the study of group cohomology and algebraic cycles. Early chapters synthesize background material from topology, algebraic geometry, and commutative algebra so readers do not have to form connections between the literatures on their own. Later chapters demonstrate Peter Symonds's influential proof of David Benson's regularity conjecture, offering several new variants and improvements. Complete with concrete examples and computations throughout, and a list of open problems for further study, this book will be valuable to graduate students and researchers in algebraic geometry and related fields.
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