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

Cornelissen, Gunther; Kato, Fumiharu; Kontogeorgis, Aristides

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

Authors

Cornelissen, Gunther

Kato, Fumiharu

Kontogeorgis, Aristides

Description

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.
17 pages, uses xy