Group Cohomology and Algebraic Cycles

by Burt Totaro
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eBook

Publisher: Cambridge University Press

Series: Cambridge Tracts in Mathematics

Publication Date: November 10, 2015

ISBN: 9781139904360

Binding: Kobo eBook

Availability: eBook

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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.