Algebraic Cycles and Motives
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Algebraic Cycles and Motives by Jan Nagel
Book DescriptionAlgebraic 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.
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Book DetailsISBN: 9780521701747
(228mm x 152mm x 18mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 3-May-2007
Country of Publication: United Kingdom
Books By Author Jan Nagel
Algebraic Cycles and Motives, Paperback (May 2007)» View all books by Jan Nagel
A self-contained account of the subject of algebraic cycles and motives as it stands.
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Author Biography - Jan Nagel
Jan Nagel is a Lecturer at UFR de Mathematiques Pures et Appliquees, Universite Lille 1. Chris Peters is a Professor at Institut Fourier, Universite Grenoble 1.
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