Tropical Jacobian and the generic fiber of the ultra-discrete periodic Toda lattice are isomorphic

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dc.creatorInoue, Rei
dc.creatorTakenawa, Tomoyuki
dc.date2009-02-03
dc.date.accessioned2026-07-07T12:37:16Z
dc.date.available2026-07-07T12:37:16Z
dc.descriptionWe prove that the general isolevel set of the ultra-discrete periodic Toda lattice is isomorphic to the tropical Jacobian associated with the tropical spectral curve. This result implies that the theta function solution obtained in the authors' previous paper is the complete solution. We also propose a method to solve the initial value problem.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0902.0448
dc.identifierhttp://arxiv.org/abs/0902.0448
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218382
dc.subjectExactly Solvable and Integrable Systems
dc.subjectAlgebraic Geometry
dc.titleTropical Jacobian and the generic fiber of the ultra-discrete periodic Toda lattice are isomorphic
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