Modular Forms and Special Cycles on Shimura Curves. (AM-161) /

Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating fu...

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Détails bibliographiques
Auteur principal: Kudla, Stephen S., 1950-
Autres auteurs: Yang, Tonghai, 1963-, Rapoport, M., 1948-
Format: Électronique eBook
Langue:Inglés
Publié: Princeton : Princeton University Press, 2006.
Collection:Book collections on Project MUSE.
Sujets:
Thetafunktion.
Shimura-Kurve.
Eisenstein-Reihe.
Arithmetische Geometrie.
Thetafunktion
Shimura-Kurve
Eisenstein-Reihe
Arithmetische Geometrie
Shimura varieties.
Arithmetical algebraic geometry.
MATHEMATICS > Functional Analysis.
MATHEMATICS > Geometry > Algebraic.
Varietes de Shimura.
Geometrie algebrique arithmetique.
Electronic books.
Accès en ligne:Texto completo
Table des matières:
  • Frontmatter
  • Contents
  • Acknowledgments
  • Chapter 1. Introduction
  • Chapter 2. Arithmetic intersection theory on stacks
  • Chapter 3. Cycles on Shimura curves
  • Chapter 4. An arithmetic theta function
  • Chapter 5. The central derivative of a genus two Eisenstein series
  • Chapter 6. The generating function for 0-cycles
  • Chapter 6 Appendix
  • Chapter 7. An inner product formula
  • Chapter 8. On the doubling integral
  • Chapter 9. Central derivatives of L-functions
  • Index.

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