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5. The Heegner module

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

Contents.

  • 5.1. Group rings of finite abelian groups

  • 5.2. The group rings \(\Delta_c\) of Picard groups

  • 5.3. The Heegner module of a galois representation

  • 5.4. Čech galois cohomology

  • 5.5. Group rings and \({\mathaccent "7014\relax {\bf C}}\)ech cohomology

  • 5.6. Group cohomology; Kolyvagin elements

  • 5.7. Basic properties of the Heegner module

  • 5.8. Proofs of the propositions of §5.7

  • 5.9. Faithful flatness of the Heegner module

  • 5.10. Proofs of the results of §5.9

  • 5.11. The Heegner module as a Heegner sheaf

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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