A family of Schottky groups arising from the hypergeometric equation

Ichikawa, Takashi; Yoshida, Masaaki

doi:10.1090/S0002-9939-06-08235-9

A family of Schottky groups arising from the hypergeometric equation
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by Takashi Ichikawa and Masaaki Yoshida PDF

Proc. Amer. Math. Soc. 134 (2006), 2271-2280 Request permission

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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