Jacobian variety and Integrable system -- after Mumford, Beauville and Vanhaecke

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dc.creatorInoue, Rei
dc.creatorKonishi, Yukiko
dc.creatorYamazaki, Takao
dc.date2005-12-12
dc.date2006-06-12
dc.date.accessioned2026-07-07T06:54:37Z
dc.date.available2026-07-07T06:54:37Z
dc.descriptionBeauville 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 be regarded as a generalization of the Mumford system. In this article, we construct a variant of Beauville's system whose general level set is isomorphic to the complement of the `intersection' of the translations of the theta divisor in the Jacobian. A suitable subsystem of our system can be regarded as a generalization of the even Mumford system introduced by Vanhaecke.
dc.description21 pages. The previous version of this manuscript was entitled `Integrable Hamiltonian system on the Jacobian of a spectral curve -- after Beauville'
dc.identifierhttps://arxiv.org/abs/math-ph/0512033
dc.identifierhttp://arxiv.org/abs/math-ph/0512033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106002
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subject37J35; 14H70; 14H40
dc.titleJacobian variety and Integrable system -- after Mumford, Beauville and Vanhaecke
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