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Sept. 2002 A modular group action on cubic surfaces and the monodromy of the Painlevé VI equation
Katsunori Iwasaki
Proc. Japan Acad. Ser. A Math. Sci. 78(7): 131-135 (Sept. 2002). DOI: 10.3792/pjaa.78.131

Abstract

We construct an action of the modular group $\varGamma(2)$ on a general $4$-parameter family of complex cubic surfaces and describe the nonlinear monodromy of the Painlevé VI equation in terms of this action.

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Katsunori Iwasaki. "A modular group action on cubic surfaces and the monodromy of the Painlevé VI equation." Proc. Japan Acad. Ser. A Math. Sci. 78 (7) 131 - 135, Sept. 2002. https://doi.org/10.3792/pjaa.78.131

Information

Published: Sept. 2002
First available in Project Euclid: 23 May 2006

zbMATH: 1058.34125
MathSciNet: MR1930217
Digital Object Identifier: 10.3792/pjaa.78.131

Subjects:
Primary: 33E17
Secondary: 14R20

Keywords: complex cubic surface , modular group , nonlinear monodromy , the Painlevé VI equation

Rights: Copyright © 2002 The Japan Academy

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Vol.78 • No. 7 • Sept. 2002
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