Group Cohomology and Algebraic Cycles (Hardcover) (ISBN-13: 9781107015777)

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.

Author: Burt Totaro
ISBN-10: 1107015774
ISBN-13: 9781107015777
Publisher: Cambridge University Press
Language: English
Published: 06/26/2014
Pages: 246
Format: Hardcover
Weight: 1.17lbs
Size: 9.00h x 6.00w x 0.69d