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Introduction

  • Eberhard Freitag
Chapter

Abstract

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].

Keywords

Cohomology Group Eisenstein Series Hodge Structure Congruence Subgroup Hodge Number 
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 1990

Authors and Affiliations

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

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