Construction of p-adic Hurwitz spaces
arXiv:math/0208106
Abstract
Moduli spaces for Galois covers of p-adic Mumford curves by Mumford curves are constructed using Herrlich's Teichmuller spaces, Andre's orbifold fundamental groups, and Kato's graphs of groups encoding ramification data of charts for Mumford orbifolds.
16 pages (minor corrections)