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A family of Schottky groups arising from the hypergeometric equation
Author(s):
Takashi
Ichikawa;
Masaaki
Yoshida
Journal:
Proc. Amer. Math. Soc.
134
(2006),
2271-2280.
MSC (2000):
Primary 33C05, 30F10, 30F40
Posted:
February 2, 2006
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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.
References:
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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:
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
Posted:
February 2, 2006
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
Forward Citation(s): Information for authors on submitting citations The following works have cited this article Takashi Ichikawa and Masaaki Yoshida, A family of Schottky groups arising from the hypergeometric equation, Proc. Amer. Math. Soc. (8) 134 (2006), 2271-2280. (English)
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