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Algebraic Cycles and Motives: Volume 2
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Algebraic Cycles and Motives: Volume 2

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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 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.

Author Biography:

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.
Release date NZ
May 3rd, 2007
Audience
  • Professional & Vocational
Contributors
  • Edited by Chris Peters
  • Edited by Jan Nagel
Illustrations
Worked examples or Exercises; 6 Tables, unspecified; 5 Line drawings, unspecified
Pages
374
Dimensions
152x229x21
ISBN-13
9780521701754
Product ID
1973626

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