3 0 Ju n 20 05 Families of Painlevé VI equations having a common solution

نویسنده

  • Lubomir Gavrilov
چکیده

We classify all functions satisfying non-trivial families of PVIα equations. It turns out that all of these 23 solutions are of geometric origin: they are related to deformations of elliptic surfaces as proved earlier by Doran. Similarly, we prove that the same solutions can be obtained from deformations of three-sheeted covers of P1 with branching locus consisting of four points. e-mail: [email protected] e-mail: [email protected]

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تاریخ انتشار 2008