English

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

Algebraic Geometry 2008-09-29 v1 Number Theory

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.

Keywords

Cite

@article{arxiv.0809.4579,
  title  = {Three examples of the relation between rigid-analytic and algebraic deformation parameters},
  author = {Gunther Cornelissen and Fumiharu Kato and Aristides Kontogeorgis},
  journal= {arXiv preprint arXiv:0809.4579},
  year   = {2008}
}

Comments

17 pages, uses xy

R2 v1 2026-06-21T11:24:28.548Z