REVIEW 1 cited by
The Lagrange bitop on so(4) x so(4) and geometry of the Prym varieties
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
A 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.
Forward citations
Cited by 1 Pith paper
-
Heavy rigid body with a gyroscope in $\mathbb R^n$
Multidimensional Lagrange, Euler, and totally symmetric heavy tops remain Liouville integrable after adding a gyroscope with angular momentum in the symmetry subalgebra, with new polynomial Lax representations.
Discussion (0). Continue with ORCID to comment.