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Algebraic Cycles and Motives: Volume 2
  • Bandtyp: Häftad
  • Språk: Engelska
  • Utgiven: 200705
  • Antal sidor: 374
  • Vikt i gram: 610
  • ISBN10:0521701759
  • ISBN13:9780521701754

Algebraic Cycles and Motives: Volume 2

(Häftad)

Beskrivning:

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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