On an Orbifold Hamiltonian Structure for the First Painleve Equation

Abstract

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.

13 pages, 9 figures

References in corpus (1)

• The first, second and fourth Painlevé equations on weighted projective spaces