| Algebraic Cycles and Motives: Volume 2 Contributor(s): Nagel, Jan (Editor), Peters, Chris (Editor) |
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ISBN: 0521701759 ISBN-13: 9780521701754 Publisher: Cambridge University Press OUR PRICE: $67.44 Product Type: Paperback - Other Formats Published: May 2007 Annotation: 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 today. 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General - Mathematics | Topology - General |
| Dewey: 516.35 |
| LCCN: 2007278682 |
| Series: London Mathematical Society Lecture Notes |
| Physical Information: 0.8" H x 6.36" W x 8.95" (1.36 lbs) 374 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 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. |
Contributor Bio(s): Peters, Chris: - Chris Peters is a Professor at Institut Fourier, Universite Grenoble 1.Nagel, Jan: - Jan Nagel is a Lecturer at UFR de Mathematiques Pures et Appliquees, Universite Lille 1. |