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A family of Schottky groups arising from the hypergeometric equation

Takashi Ichikawa·Masaaki Yoshida
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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.

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Takashi Ichikawa, Masaaki Yoshida. 2004-09-01. A family of Schottky groups arising from the hypergeometric equation. https://arxiv.org/abs/math/0409009

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