Cubic Pencils and Painlev\'e Hamiltonians
classification
🌊 nlin.SI
hep-thmath.AG
keywords
cubicpainlevpencilscorrespondingcurvesderivedifferentialdirect
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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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