The Lagrange bitop on so(4) x so(4) and geometry of the Prym varieties

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dc.creatorDragovic, V.
dc.creatorGajic, B.
dc.date2002-01-17
dc.date.accessioned2026-07-07T04:28:55Z
dc.date.available2026-07-07T04:28:55Z
dc.descriptionA four-dimensional integrable rigid-body system is considered and it is shown that it represents two twisted three-dimensional Lagrange tops. A polynomial Lax representation, which doesn't fit neither in Dubrovin's nor in Adler - van Moerbeke's picture is presented. The algebro-geometric integration procedure is based on deep facts from the geometry of the Prym varietiesof double coverings of hypeelliptic curves. The correspondence between all such coverings with Prym varieties splitted as a sum of two varieties of the same dimension and the integrable hierarchy associated to the initial system is established.
dc.description25 pages, 31 ref
dc.identifierhttps://arxiv.org/abs/math-ph/0201036
dc.identifierhttp://arxiv.org/abs/math-ph/0201036
dc.identifierto appear in Amer. Journal of Mathematics, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56971
dc.subjectMathematical Physics
dc.subject70H06; 14H40
dc.titleThe Lagrange bitop on so(4) x so(4) and geometry of the Prym varieties
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