Abstract
For the first Painlevé equation we establish an orbifold polynomial Hamiltonian structure on the fibration of Okamoto's spaces and show that this geometric structure uniquely recovers the original Painlevé equation, thereby solving a problem posed by K. Takano.
Citation
Katsunori IWASAKI. Shu OKADA. "On an orbifold Hamiltonian structure for the first Painlevé equation." J. Math. Soc. Japan 68 (3) 961 - 974, July, 2016. https://doi.org/10.2969/jmsj/06830961
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