Algebraic Cycles and Motives: Volume 1
Algebraic Cycles and Motives: Volume 1
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Résumé
These two volumes provide a self-contained account of research on algebraic cycles and motives. Twenty-two contributions from leading figures survey the key research strands, including: Abel-Jacobi/regulator maps and normal functions; Voevodsky's triangulated category of mixed motives; conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups.
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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 | Non disponible |
| ISBN 13 | 9780521701747 |
| ISBN 10 | 0521701740 |
| Titre | Algebraic Cycles and Motives: Volume 1 |
| Auteur | Jan Nagel |
| Série | London Mathematical Society Lecture Note Series |
| État | Non disponible |
| Type de reliure | Paperback |
| Éditeur | Cambridge University Press |
| Année de publication | 2007-05-03 |
| Nombre de pages | 308 |
| Note de couverture | La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier. |
| Note | Non disponible |