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1. Introduction

  • Martin L. BrownEmail author
Chapter
  • 594 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1849)

Contents.

  • 1.1. Statement of the Tate conjecture

  • 1.2. The Drinfeld modular curve \(X_0^{{\rm Drin}}(I)\)

  • 1.3. Analogue for F of the Shimura-Taniyama-Weil conjecture

  • 1.4. Drinfeld-Heegner points

  • 1.5. Heegner sheaves

  • 1.6. Hecke operators

  • 1.7. Bruhat-Tits buildings with complex multiplication

  • 1.8. Bruhat-Tits buildings with complex multiplication and Drinfeld-Heegner points

  • 1.9. Classification of Bruhat-Tits buildings with complex multiplication

  • 1.10. The Heegner module of a galois representation

  • 1.11. Cohomology of the Heegner module

  • 1.12. The Tate conjecture and the Heegner module

  • 1.13. Statement of the main result on the Tate conjecture

  • 1.14. Heegner points on the classical modular curve \(X_0(N)/{\mathbb{Q}}\)

  • 1.15. Prerequisites and guide

Mathematics Subject Classification (2000):

11F52 11G05 11G09 11G15 11G40 11R58 14F20 14G10 14H52 14J27 14K22 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  1. 1.Institut FourierSaint-Martin d’HèresFrance

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