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The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves
Authors:Gunther Cornelissen  Fumiharu Kato  Aristides Kontogeorgis
Affiliation:1.Mathematisch Instituut,Universiteit Utrecht,Utrecht,Nederland;2.Department of Mathematics, Faculty of Sciences,University of Kyoto,Kyoto,Japan;3.Department of Mathematics,University of the Aegean,Karlovasi, Samos,Greece
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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