The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves |
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Authors: | Gunther Cornelissen Fumiharu Kato Aristides Kontogeorgis |
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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 |
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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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