Initial value space of the four dimensional Painlev\'{e} system with $(A_5+A_1)^{(1)}$ symmetry
Classical Analysis and ODEs
2026-02-03 v3 Mathematical Physics
math.MP
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 .
Keywords
Cite
@article{arxiv.2508.05126,
title = {Initial value space of the four dimensional Painlev\'{e} system with $(A_5+A_1)^{(1)}$ symmetry},
author = {Kazuya Matsugashita and Takao Suzuki},
journal= {arXiv preprint arXiv:2508.05126},
year = {2026}
}
Comments
30 pages, 1 figure