Algebraic Cycles and Motives

Algebraic Cycles and Motives pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:Nagel, Jan (EDT)/ Peters, Chris (EDT)
出品人:
页数:374
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出版时间:2007-5-3
价格:GBP 55.00
装帧:Paperback
isbn号码:9780521701754
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Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This book is one of two volumes that provide a self-contained account of the subject as it stands. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives, finite-dimensional motives); the conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups and Bloch's conjecture. Researchers and students in complex algebraic geometry and arithmetic geometry will find much of interest here.

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