@article{MR2600417, 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 = {CornelJNT.pdf}, mrclass = {11M38 (11G09 11R58)}, mrnumber = {2600417 (2011e:11144)}, issn = {0022-314X}, number = {4}, year = {2010}, url = {http://dx.doi.org/10.1016/j.jnt.2009.08.002}, author = {Cornelissen, Gunther and Kontogeorgis, Aristides and van der Zalm, Lotte}, mrreviewer = {Robert Perlis}, pages = {1000--1012}, volume = {130}, fjournal = {Journal of Number Theory}, doi = {10.1016/j.jnt.2009.08.002}, coden = {JNUTA9}, journal = {J. Number Theory}, title = {Arithmetic equivalence for function fields, the {G}oss zeta function and a generalisation} }