On Abelian Automorphism Groups of Mumford Curves

Abstract

We use rigid analytic uniformization by Schottky groups to give a bound for the order of the abelian subgroups of the automorphism group of a Mumford curve in terms of its genus.

9 pages. This paper replaces v1 which has been splitted into two parts

References in corpus (1)

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