Algebraic Cycles and Motives: Volume 1

by Jan Nagel

Part of the London Mathematical Society Lecture Note Series Series

Algebraic Cycles and Motives: Volume 1 Synopsis

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.

Book Information

ISBN: 9780521701747
Publication date: 3rd May 2007
Author: Jan Nagel
Publisher: Cambridge University Press
Format: Paperback
Pagination: 308 pages
Categories: Applied mathematics, Algebraic topology,

About Jan Nagel

Jan Nagel is a Lecturer at UFR de Math matiques Pures et Appliqu es, Universit Lille 1. Chris Peters is a Professor at Institut Fourier, Universit Grenoble 1.

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