Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892758 | Journal of Geometry and Physics | 2015 | 9 Pages |
Abstract
One can associate to many of the well known algebraically integrable systems of Jacobians (generalized Hitchin systems, Sklyanin) a ruled surface which encodes much of its geometry. If one looks at the classification of such surfaces, there is one case of a ruled surface that does not seem to be covered. This is the case of projective bundle associated to the first jet bundle of a topologically nontrivial line bundle. We give the integrable system corresponding to this surface; it turns out to be a deformation of the Hitchin system.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Indranil Biswas, Jacques Hurtubise,