Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
arXiv:math-ph/0610048 · doi:10.3842/SIGMA.2007.007
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.
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/