000			01738nam a2200265Ia 4500
003			OSt
005			20250716115829.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a9781107015777
037			_cTextbook
040			_aCSL _beng _cCSL
041			_aeng
084			_aB316 Q4;1 TB _qCSL
100			_aTotaro, Burt _eauthor _9815718
245		0	_aGroup cohomology and algebraic cycles
260			_aNew York : _bCUP, _c2014.
300			_axvi, 228p. _b: ill.
500			_aAppendix 217-218p.; References 219-226p.; Index 227-228p.
520			_aGroup 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.
650			_a Geometric and topological filtrations _9815719
650			_a Transferred euler classes _9815720
650			_aDepth and regularity _9815721
942			_hB316 Q4;1 TB _cTB _2CC _n0
999			_c13839 _d13839