Modular forms and special cycles on Shimura curves /

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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Kudla, Stephen S., 1950-
Other Authors: Rapoport, M., 1948-, Yang, Tonghai, 1963-
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2006.
Series:Annals of mathematics studies ; no. 161.
Subjects:
Arithmetical algebraic geometry.
Shimura varieties.
Géométrie algébrique arithmétique.
Variétés de Shimura.
MATHEMATICS > Geometry > Algebraic.
MATHEMATICS > Functional Analysis.
Arithmetical algebraic geometry
Shimura varieties
Arithmetische Geometrie
Eisenstein-Reihe
Shimura-Kurve
Thetafunktion
Online Access:Texto completo
Table of Contents:
  • 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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