Group Cohomology and Algebraic Cycles

Nonfiction, Science & Nature, Mathematics, Geometry, Algebra
Cover of the book Group Cohomology and Algebraic Cycles by Burt Totaro, Cambridge University Press
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Author: Burt Totaro ISBN: 9781139904360
Publisher: Cambridge University Press Publication: June 26, 2014
Imprint: Cambridge University Press Language: English
Author: Burt Totaro
ISBN: 9781139904360
Publisher: Cambridge University Press
Publication: June 26, 2014
Imprint: Cambridge University Press
Language: English

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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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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