Initial value space of the four dimensional Painlev\'e system with (A5+A1)(1) symmetry

Abstract

The initial value spaces of the Painlev\'e equations are proposed by Okamoto. They are symplectic manifolds in which the Painlev\'e equations are described as polynomial Hamiltonian systems on all coordinates. In this article, we construct an initial value space of the four dimensional Painlev\'e system with affine Weyl group symmetry of type (A5+A1)(1).

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