Algebraic solutions of the sixth Painleve equation

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We describe all finite orbits of an action of the extended modular group $\barΛ$ on conjugacy classes of SL(2,C)-triples. The result is used to classify all algebraic solutions of the general Painleve VI equation up to parameter equivalence.
53 pages, many figures

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Classical Analysis and ODEs, High Energy Physics - Theory, Mathematical Physics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/171163

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.4873
 http://arxiv.org/abs/0809.4873

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arXiv