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Algebraic Cycles and Motives: Volume 2 Paperback: V. 2 (London Mathematical Society Lecture Note Series) (in English)
Chris Peters
(Illustrated by)
·
Jan Nagel
(Illustrated by)
·
Cambridge University Press
· Paperback
Algebraic Cycles and Motives: Volume 2 Paperback: V. 2 (London Mathematical Society Lecture Note Series) (in English) - Nagel, Jan ; Peters, Chris
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Synopsis "Algebraic Cycles and Motives: Volume 2 Paperback: V. 2 (London Mathematical Society Lecture Note Series) (in English)"
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.
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The book is written in English.
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