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Algebraic Cycles and Motives by Jan Nagel

Algebraic Cycles and Motives

by Jan Nagel , Chris Peters
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Book cover type: Paperback
  • ISBN13: 9780521701747
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 308
  • Original Price: GBP 81.0
  • Language: English
  • Edition: N/A
  • Item Weight: 513 grams
  • BISAC Subject(s): Algebra / General

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.

Nagel, Jan: - Jan Nagel is a Lecturer at UFR de Mathématiques Pures et Appliquées, Université Lille 1.

Peters, Chris: - Chris Peters is a Professor at Institut Fourier, Université Grenoble 1.

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