A family of Schottky groups arising from the hypergeometric equation
Complex Variables
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We study a complex 3-dimensional family of classical Schottky groups of genus 2 as monodromy groups of the hypergeometric equation. We find non-trivial loops in the deformation space; these correspond to continuous integer-shifts of the parameters of the equation.
Cite
@article{arxiv.math/0409009,
title = {A family of Schottky groups arising from the hypergeometric equation},
author = {Takashi Ichikawa and Masaaki Yoshida},
journal= {arXiv preprint arXiv:math/0409009},
year = {2007}
}