Algebraic Cycles and Motives: Volume 1
Algebraic Cycles and Motives: Volume 1
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Algebraic Cycles and Motives: Volume 1 by Chris Peters
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.
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.
| SKU | Unavailable |
| ISBN 13 | 9780521701747 |
| ISBN 10 | 0521701740 |
| Title | Algebraic Cycles and Motives: Volume 1 |
| Author | Jan Nagel |
| Series | London Mathematical Society Lecture Note Series |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2007-05-03 |
| Number of pages | 308 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |