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

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

2008-09-26

arxiv.org/abs/0809.4579v1

Mathematics

Algebraic Geometry

17 pages, uses xy

Scientific paper

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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