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math-ph2006★ 2 cited
Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
Rei Inoue, Yukiko Konishi
We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson struct…
math-ph2005
Jacobian variety and Integrable system -- after Mumford, Beauville and Vanhaecke
Rei Inoue, Yukiko Konishi, Takao Yamazaki
Beauville introduced an integrable Hamiltonian system whose general level set is isomorphic to the complement of the theta divisor in the Jacobian of the spectral curve. This can b…