The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves

@article{Cornelissen2010TheRB,
  title={The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves},
  author={Gunther Cornelissen and Fumiharu Kato and Aristides Kontogeorgis},
  journal={Israel Journal of Mathematics},
  year={2010},
  volume={180},
  pages={345-370}
}
We consider three examples of families of curves over a non-archimedean valued field which admit a non-trivial group action. These equivariant deformation spaces can be described by algebraic parameters (in the equation of the curve), or by rigid-analytic parameters (in the Schottky group of the curve). We study the relation between these parameters as rigid-analytic self-maps of the disk. 
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