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.
| ISBN: | 9780521701754 |
| Publication date: | 3rd May 2007 |
| Author: | Jan Université de Lille Nagel |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 374 pages |
| Series: | London Mathematical Society Lecture Note Series |
| Genres: |
Applied mathematics Algebraic topology |
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.
Algebraic Cycles and Motives: Volume 2 features in the following genres: Applied mathematics, Algebraic topology
Algebraic Cycles and Motives: Volume 2 is available in Paperback
Algebraic Cycles and Motives: Volume 2 was written by Jan Université de Lille Nagel and published by Cambridge University Press
Algebraic Cycles and Motives: Volume 2 has 374 pages
Yes it is part of London Mathematical Society Lecture Note Series series
£60.30