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Introduction

Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1759)

Abstract

P. Cousin studied in 1910 meromorphic functions of two variables with triple periods and discovered a group which does not contain C or C as direct summand. Such a group is a toroidal group.

Toroidal groups X have maximal closed Stein subgroups N ≅ Cm, such that the quotient XIN is a complex torus and X a Cm-fibre bundle over XIN. The fact that such a bundle can be described by an exponential systems of an automorphic factor led to many results.

Keywords

Line Bundle Meromorphic Function Direct Summand Abelian Variety Automorphic Form 
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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

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