• Eberhard Freitag


The Hilbert modular group
$${{\Gamma }_{K}} = SL\left( {2,o} \right)$$
is the group of all 2 × 2 matrices of determinant 1 with coefficients in the ring o of integers of a totally real number field KQ. This group and the corresponding spaces and functions — the Hilbert modular varieties and Hilbert modular forms — have been subject of many investigations starting with the Blumenthal papers [6].


Cohomology Group Eisenstein Series Hodge Structure Congruence Subgroup Hodge Number 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Eberhard Freitag
    • 1
  1. 1.Mathematisches InstitutUniversität HeidelbergHeidelbergFed. Rep. of Germany

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