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A modular group action on cubic surfaces and the monodromy of the Painlevé VI equation

Proceedings of the Japan Academy Series A: Mathematical Sciences (2002) 78(7) 131-135
DOI: 10.3792/pjaa.78.131
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Abstract

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

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Iwasaki, K. (2002). A modular group action on cubic surfaces and the monodromy of the Painlevé VI equation. In Proceedings of the Japan Academy Series A: Mathematical Sciences (Vol. 78, pp. 131–135). Japan Academy. https://doi.org/10.3792/pjaa.78.131

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