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

Modular Forms and Special Cycles on Shimura Curves. (AM-161) / / Stephen S. Kudla, Tonghai Yang, Michael Rapoport.

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
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Kudla, Stephen S.,
Rapoport, Michael,
Yang, Tonghai,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2006]
©2006
Year of Publication:2006
Edition:Course Book
Language:English
Series:Annals of Mathematics Studies ; 161
Online Access:
Physical Description:1 online resource (392 p.) :; 1 line illus. 3 tables.
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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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