Algebraic Cycles and Motives
Algebraic Cycles and Motives
$70.99
USDAlgebraic 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.
- Provides a self-contained account of the subject of algebraic cycles and motives as it stands today
- Papers by the leading experts in the field
- Discusses both main research topics and interesting new developments within the subject
Product details
May 2013Adobe eBook Reader
9781107109209
0 pages
0kg
5 b/w illus. 6 tables
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Part II. Research Articles:
- 8. Beilinson's Hodge conjecture with coefficients M. Asakura and S. Saito
- 9. On the splitting of the Bloch-Beilinson filtration A. Beauville
- 10. Künneth projectors S. Bloch and H. Esnault
- 11. The Brill-Noether curve of a stable bundle on a genus two curve S. Brivio and A. Verra
- 12. On Tannaka duality for vector bundles on p-adic curves C. Deninger and A. Werner
- 13. On finite-dimensional motives and Murre's conjecture U. Jannsen
- 14. On the transcendental part of the motive of a surface B. Kahn, J. P. Murre and C. Pedrini
- 15. A note on finite dimensional motives S. I. Kimura
- 16. Real regulators on Milnor complexes, II J. D. Lewis
- 17. Motives for Picard modular surfaces A. Miller, S. Müller-Stach, S. Wortmann, Y.-H.Yang, K. Zuo
- 18. The regulator map for complete intersections J. Nagel
- 19. Hodge number polynomials for nearby and vanishing cohomology C. Peters and J. Steenbrink
- 20. Direct image of logarithmic complexes M. Saito
- 21. Mordell-Weil lattices of certain elliptic K3's T. Shioda
- 22. Motives from diffraction J. Stienstra.
