Group cohomology and algebraic cycles
Totaro, Burt
Group cohomology and algebraic cycles - Cambridge: Cambridge University Press, 2014. - xvii, 328p. hbk; 24. - Cambridge tracts in mathematics, no. 204 .
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
9781107015777
Algebra
Homology theory
Algebraic cycles
Algebraic topology
Group rings
512.64 / TOT
Group cohomology and algebraic cycles - Cambridge: Cambridge University Press, 2014. - xvii, 328p. hbk; 24. - Cambridge tracts in mathematics, no. 204 .
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
9781107015777
Algebra
Homology theory
Algebraic cycles
Algebraic topology
Group rings
512.64 / TOT
