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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A family of Schottky groups arising from the hypergeometric equation


Authors: Takashi Ichikawa and Masaaki Yoshida
Journal: Proc. Amer. Math. Soc. 134 (2006), 2271-2280
MSC (2000): Primary 33C05, 30F10, 30F40
Published electronically: February 2, 2006
MathSciNet review: 2213699
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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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Additional Information

Takashi Ichikawa
Affiliation: Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga 840-8502, Japan
Email: ichikawa@ms.saga-u.ac.jp

Masaaki Yoshida
Affiliation: Department of Mathematics, Kyushu University, Fukuoka 810-8560, Japan
Email: myoshida@math.kyushu-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08235-9
PII: S 0002-9939(06)08235-9
Keywords: Hypergeometric equation, monodromy group, Schottky group
Received by editor(s): October 1, 2004
Received by editor(s) in revised form: February 24, 2005
Published electronically: February 2, 2006
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.