Wow! eBook
Algebraic Cycles and Motives: 1: 343
Author(s): Jan Nagel
- Publisher: Cambridge University Press
- Publication Date: 3 May 2007
- Edition: Illustrated
- Language: English
- Print length: 308 pages
- ISBN-10: 9780521701747
- ISBN-13: 0521701740
Book Description
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.
Editorial Reviews
Book Description
This 2007 book is a self-contained account of the subject of algebraic cycles and motives.
About the Author
Jan Nagel is a Lecturer at UFR de Mathématiques Pures et Appliquées, Université Lille 1.
Chris Peters is a Professor at Institut Fourier, Université Grenoble 1.
