%0 Journal Article %T Cyclic coverings of the $p$-adic projective line by Mumford curves %A Patrick Erik Bradley %J Mathematics %D 2007 %I arXiv %R 10.1007/s00229-007-0120-4 %X 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. %U http://arxiv.org/abs/0707.2467v1