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arxiv: math/0409009 · v1 · submitted 2004-09-01 · 🧮 math.CV · math.CA

A family of Schottky groups arising from the hypergeometric equation

classification 🧮 math.CV math.CA
keywords equationgroupsfamilyhypergeometricschottkyarisingclassicalcomplex
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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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