A family of Schottky groups arising from the hypergeometric equation

2004/09/01 by Takashi Ichikawa, Ichikawa, Takashi, Masaaki Yoshida +1
Mathematics · #Graph theory and applications #math.CA #math.CV #msc:30F10 #msc:30F40 #msc:33C05

paper · pdf · doi:10.48550/arxiv.math/0409009

arxiv created 2004/09/01 · arxiv updated 2009/12/01

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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