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Cubic Pencils and Painlevé Hamiltonians

Kenji Kajiwara·Tetsu Masuda·Masatoshi Noumi·Yasuhiro Ohta·Yasuhiko Yamada
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Abstract

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.

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Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta, Yasuhiko Yamada. 2004-03-08. Cubic Pencils and Painlevé Hamiltonians. https://arxiv.org/abs/nlin/0403009

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