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3. Bruhat-Tits trees with complex multiplication

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

Contents.

  • 3.1. The Bruhat-Tits building \(\Delta \) for \({\rm SL}_2\) of a discretely valued field

  • 3.2. Lattices in quadratic extensions: elementary results

  • 3.3. Lattices in quadratic extensions: discrete valuation rings

  • 3.4. Proofs of the propositions of §3.3

  • 3.5. Explicit formulae for the conductor Exp\((\Lambda )\)

  • 3.6. Bruhat-Tits trees with complex multiplication

  • 3.7. The standard metric and Bruhat-Tits trees with complex multiplication

  • 3.8. Classification of Bruhat-Tits trees with complex multiplication

  • 3.9. Lattices in quadratic extensions: Dedekind domains

  • 3.10. The global Bruhat-Tits net

  • 3.11. Bruhat-Tits nets with complex multiplication

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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