@article{MR2735069, abstract = {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. }, file = {ckkIsrael.pdf}, mrclass = {14G22 (11G05)}, mrnumber = {2735069 (2011j:14054)}, issn = {0021-2172}, year = {2010}, url = {http://dx.doi.org/10.1007/s11856-010-0107-9}, author = {Cornelissen, Gunther and Kato, Fumiharu and Kontogeorgis, Aristides}, mrreviewer = {Noriko Yui}, pages = {345--370}, volume = {180}, fjournal = {Israel Journal of Mathematics}, doi = {10.1007/s11856-010-0107-9}, coden = {ISJMAP}, journal = {Israel J. Math.}, title = {The relation between rigid-analytic and algebraic deformation parameters for {A}rtin-{S}chreier-{M}umford curves} }