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Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant

Rei Inoue, Yukiko Konishi

math-pharXiv:math-ph/0610048

Abstract

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 structures on the Mumford system and the even Mumford system.

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