Cyclic coverings of the $p$-adic projective line by Mumford curves
Abstract
Description
Exact bounds for the positions of the branch points for cyclic coverings of the $p$-adic projective line by Mumford curves are calculated in two ways. Firstly, by using Fumiharu Kato's *-trees, and secondly by giving explicit matrix representations of the Schottky groups corresponding to the Mumford curves above the projective line through combinatorial group theory.
17 pages, 3 eps-figures. To appear in manuscripta mathematica
17 pages, 3 eps-figures. To appear in manuscripta mathematica