A family of Schottky groups arising from the hypergeometric equation

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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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Complex Variables, Classical Analysis and ODEs, 33C05, 30F10, 30F40

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http://salesiana.dossiersoluciones.com/handle/123456789/72335

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409009
 http://arxiv.org/abs/math/0409009

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arXiv