Algebraic Cycles and Motives: Volume 1 (Paperback) (ISBN-13: 9780521701747)

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.

Author: Jan Nagel
ISBN-10: 0521701740
ISBN-13: 9780521701747
Publisher: Cambridge University Press
Language: English
Published: 05/03/2007
Pages: 308
Format: Paperback
Weight: 1.13lbs
Size: 8.95h x 6.35w x 0.68d