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arXiv · 2508.05126

Initial value space of the four dimensional Painlev\'{e} system with $(A_5+A_1)^{(1)}$ symmetry

Kazuya Matsugashita·Takao Suzuki
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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 $(A_5+A_1)^{(1)}$.

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Kazuya Matsugashita, Takao Suzuki. 2025-08-07. Initial value space of the four dimensional Painlev\'{e} system with $(A_5+A_1)^{(1)}$ symmetry. https://arxiv.org/abs/2508.05126

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