The Tate Conjectures for Hilbert Modular Surfaces

  • Gerard van der Geer
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 16)


Once one has models for Hilbert modular varieties over (rings of integers of) number fields one can start investigating the arithmetic properties of Hilbert modular varieties. The wealth of results (and conjectures) for the moduli spaces of elliptic curves suggests that unexpected treasures lie buried in a largely unexplored territory.


Modular Form Galois Representation Automorphic Representation Algebraic Cycle Compact Open Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Gerard van der Geer
    • 1
  1. 1.Mathematisch InstituutUniversiteit van AmsterdamAmsterdamThe Netherlands

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