ar X iv : 0 70 9 . 05 97 v 3 [ m at h . G M ] 5 A ug 2 00 9 Geometric Riemann scheme of the sixth Painlevé equation
نویسنده
چکیده
In this paper, we introduce the notion of geometric Riemann scheme of the sixth Painlevé equation, which consists of the pair of accessible singular points and matrix of linear approximation around each singular point on the boundary divisor in the Hirzebruch surface. Giving this in the differential system satisfying certain conditions, we can recover the Painlevé VI system with the polynomial Hamiltonian.
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