# Algebraic Cycles and Motives: Volume 1 (London Mathematical Society Lecture Note Series) by Jan Nagel

#### ISBN: 0521701740

#### Category: Technical

#### Tag: Science/Engineering

Posted on 2011-06-01. By anonymous.

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**Algebraic Cycles and Motives: Volume 1 (London Mathematical Society Lecture Note Series) by Jan Nagel**

Publisher: Cambridge University Press (May 28, 2007) | ISBN: 0521701740 | Pages: 306 | PDF | 3.19 MB

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 today. 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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**Algebraic Cycles and Motives: Volume 1 (London Mathematical Society Lecture Note Series) by Jan Nagel**

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