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.
|Publication date:||3rd May 2007|
|Publisher:||Cambridge University Press|
|Categories:||Applied mathematics, Algebraic topology,|
Jan Nagel is a Lecturer at UFR de Math matiques Pures et Appliqu es, Universit Lille 1. Chris Peters is a Professor at Institut Fourier, Universit Grenoble 1.More About Jan Nagel