On an Orbifold Hamiltonian Structure for the First Painleve Equation
classification
🧮 math.CA
keywords
equationpainlevestructurefirsthamiltonianorbifoldestablishfibration
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For the first Painleve 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 Painleve equation, thereby solving a problem posed by K. Takano.
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