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.
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Cornelissen, G., Kato, F. & Kontogeorgis, A. The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves. Isr. J. Math. 180, 345–370 (2010). https://doi.org/10.1007/s11856-010-0107-9
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DOI: https://doi.org/10.1007/s11856-010-0107-9