Group cohomology and algebraic cycles

By:

Totaro, Burt

Series: Cambridge tracts in mathematics, no. 204Publication details: Cambridge University Press, 2014. Cambridge:Description: xvii, 328p. hbk; 24ISBN:

9781107015777

Subject(s):

DDC classification:

512.64 TOT

Summary: 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. https://www.cambridge.org/core/books/group-cohomology-and-algebraic-cycles/2C6E0E929E1C83D0D1D8DE0B3074D220#fndtn-information

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	512.64 TOT (Browse shelf(Opens below))	1	Available		031752

Includes reference and index

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.

https://www.cambridge.org/core/books/group-cohomology-and-algebraic-cycles/2C6E0E929E1C83D0D1D8DE0B3074D220#fndtn-information

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