Cyclic coverings of the $p$-adic projective line by Mumford curves

Details Cyclic coverings of the $p$-adic projective line by Mumford curves Cyclic coverings of the $p$-adic projective line by Mumford curves

2007-07-17

arxiv.org/abs/0707.2467v1

manuscripta math. 124, 77-95 (2007)

Mathematics

Algebraic Geometry

17 pages, 3 eps-figures. To appear in manuscripta mathematica

Scientific paper

10.1007/s00229-007-0120-4

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.

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