Cubic Pencils and Painlevé Hamiltonians

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We present a simple heuristic method to derive the Painlevé differential equations from the corresponding geometry of rational surafces. We also give a direct relationship between the cubic pencils and Seiberg-Witten curves.
9 pages with 1 figure in EPS

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Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/80684

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0403009
 http://arxiv.org/abs/nlin/0403009

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arXiv