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6. Cohomology of the Heegner module

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

Contents.

  • 6.1. General notation

  • 6.2. Exact sequences and preliminary lemmas

  • 6.3. Cohomology of the Heegner module: vanishing cohomology

  • 6.4. The main lemma

  • 6.5. Proof of lemma 6.4.3.

  • 6.6. The main proposition

  • 6.7. The submodule Jc,z,S

  • 6.8. The kernel of \(\Xi \)

  • 6.9. Proofs

  • 6.10. Galois invariants of the Heegner module: S is an infinitesimal trait

  • 6.11. Proof of theorem 6.10.7

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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