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A family of Schottky groups arising from the hypergeometric equation |
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| Authors: | Takashi Ichikawa Masaaki Yoshida |
| Institution: | Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga 840-8502, Japan ; Department of Mathematics, Kyushu University, Fukuoka 810-8560, Japan |
| 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. |
| Keywords: | Hypergeometric equation monodromy group Schottky group |
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