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portada Algebraic Cycles and Motives: Volume 1 Paperback (London Mathematical Society Lecture Note Series)
Type
Physical Book
Publisher
Author
Year
2007
Language
English
Pages
308
Format
Paperback
Weight
1
ISBN
0521701740
ISBN13
9780521701747
Edition No.
1
Categories

Algebraic Cycles and Motives: Volume 1 Paperback (London Mathematical Society Lecture Note Series)

Nagel; Peters (Author) · Cambridge University Press · Paperback

Algebraic Cycles and Motives: Volume 1 Paperback (London Mathematical Society Lecture Note Series) - Nagel; Peters

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Synopsis "Algebraic Cycles and Motives: Volume 1 Paperback (London Mathematical Society Lecture Note Series) "

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.

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