
Algebraic Cycles and Motives: Volume 1
Jan Nagel
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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 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.
Product Details
Publisher | Cambridge University Press |
Publish Date | May 28, 2007 |
Pages | 308 |
Language | English |
Type | |
EAN/UPC | 9780521701747 |
Dimensions | 8.9 X 6.3 X 0.7 inches | 1.1 pounds |
About the Author
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.
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