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The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves

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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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Authors and Affiliations

  1. Mathematisch Instituut, Universiteit Utrecht, Postbus 80.010, 3508 TA, Utrecht, Nederland

    Gunther Cornelissen

  2. Department of Mathematics, Faculty of Sciences, University of Kyoto, Kyoto, 606-8502, Japan

    Fumiharu Kato

  3. Department of Mathematics, University of the Aegean, Karlovasi, Samos, Greece

    Aristides Kontogeorgis

Authors
  1. Gunther Cornelissen
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  2. Fumiharu Kato
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  3. Aristides Kontogeorgis
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Correspondence to Gunther Cornelissen.

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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

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