Cubic Pencils and Painlevé Hamiltonians

Details Cubic Pencils and Painlevé Hamiltonians Cubic Pencils and Painlevé Hamiltonians

2004-03-08

arxiv.org/abs/nlin/0403009v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages with 1 figure in EPS

Scientific paper

We present a simple heuristic method to derive the Painlev\'e 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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