Schottky-like Coverings

The objective of this thesis is to shed some light on the compactification of the moduli space of Riemann surfaces of genus g, by considering only the Riemann surfaces whose fundamental group have a given homomorphic image G. We will exhibit which groups have to be considered and prove some combinatorial group theoretic results about them. Furthermore, we prove that for a surface in the interior of the considered set of surfaces, the regular covering with given deck transformation group, isomorphic to G, is a tree of planar Riemann surfaces.
79 pages.
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Schottky-like Coverings
Bruno Haible <bruno@clisp.org>

Last modified: 20 April 1998.