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Algebraic Cycles and Motives 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Nagel, Jan (EDT)/ Peters, Chris (EDT) 作者

Cambridge University Press

译者

2007-5-3 出版日期

374 页数

GBP 55.00 价格

Paperback

丛书系列

9780521701754 图书编码

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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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