Jan Nagel / Chris Peters (eds.)

Algebraic Cycles and Motives, Volume 2

Herausgeber: Nagel, Jan; Peters, Chris

• Broschiertes Buch

Produktbeschreibung

These two volumes provide a self-contained account of research on algebraic cycles and motives. Twenty-two contributions from leading figures survey the key research strands, including: Abel-Jacobi/regulator maps and normal functions; Voevodsky's triangulated category of mixed motives; conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups.

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Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• Seitenzahl: 374
• Erscheinungstermin: 9. Dezember 2010
• Englisch
• Abmessung: 229mm x 152mm x 22mm
• Gewicht: 620g
• ISBN-13: 9780521701754
• ISBN-10: 0521701759
• Artikelnr.: 22578785

Autorenporträt

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.

Inhaltsangabe

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.