Algebraic Cycles and Motives: Volume 1

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Jan Nagel (Université de Lille) Chris Peters (Université Joseph Fourier, Grenoble)

Algebraic Cycles and Motives

Volume 1

Jan Nagel (Université de Lille), Chris Peters (Université Joseph Fourier, Grenoble)

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English

Cambridge University Press
03 May 2007

Mathematics & Sciences; Algebraic topology; Applied mathematics

Series: London Mathematical Society Lecture Note Series

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 2007 book is one of two volumes that provide a self-contained account of the subject. 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.

Edited by: Jan Nagel (Université de Lille), Chris Peters (Université Joseph Fourier, Grenoble)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: No. 343
Dimensions: Height: 229mm, Width: 152mm, Spine: 18mm
Weight: 514g
ISBN: 9780521701747
ISBN 10: 0521701740
Series: London Mathematical Society Lecture Note Series
Pages: 306
Publication Date: 03 May 2007
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Jan Nagel is a Lecturer at UFR de Mathematiques Pures et Appliquees, Universite Lille 1. Chris Peters is a Professor at Institut Fourier, Universite Grenoble 1.