Algebraic Cycles and Motives: Volume 2

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 0521701759
• ISBN13: 9780521701754
• Release Date: May 2007
• Publisher: Cambridge University Press
• Length: 374 Pages
• Weight: 1.36 lbs.
• Dimensions: 0.8" x 6.4" x 8.9"