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


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.


Line Bundle Meromorphic Function Direct Summand Abelian Variety Automorphic Form 
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© Springer-Verlag Berlin Heidelberg 2001

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