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

G.L.M. Cornelissen; Fumiharu Kato; A. Kontogeorgis

doi:10.1007/s11856-010-0107-9

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

G.L.M. Cornelissen^*, Fumiharu Kato, A. Kontogeorgis

^*Corresponding author for this work

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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.

Original language	English
Pages (from-to)	345-370
Number of pages	26
Journal	Israel Journal of Mathematics
Volume	180
Issue number	1
DOIs	https://doi.org/10.1007/s11856-010-0107-9
Publication status	Published - 2010

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title = "The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves",

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.",

author = "G.L.M. Cornelissen and Fumiharu Kato and A. Kontogeorgis",

year = "2010",

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AU - Kato, Fumiharu

AU - Kontogeorgis, A.

PY - 2010

Y1 - 2010

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AB - 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.

U2 - 10.1007/s11856-010-0107-9

DO - 10.1007/s11856-010-0107-9

M3 - Article

SN - 0021-2172

VL - 180

SP - 345

EP - 370

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

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

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