Three examples of the relation between rigid-analytic and algebraic deformation parameters

2008/09/26 by Gunther Cornelissen, Fumiharu Kato, Cornelissen, Gunther +3
Mathematics · #11G25 #14D10 #14G22 #14H10 #14H15 #14H30 #32K10 #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0809.4579

openalex publication_date 2008/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic

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