2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170089We 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.17 pages, uses xyAlgebraic GeometryNumber Theory14D10, 14G22, 14H10, 14H15, 14H30, 11G25, 32K10text