Authors: | Dragović, Vladimir Gajić, Borislav |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | The Lagrange bitop on so(4) × so(4) and geometry of the Prym varieties | Journal: | American Journal of Mathematics | Volume: | 126 | Issue: | 5 | First page: | 981 | Last page: | 1004 | Issue Date: | 1-Oct-2004 | Rank: | M21a | ISSN: | 0002-9327 | DOI: | 10.1353/ajm.2004.0035 | 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 varieties of double coverings of hyperelliptic curves: Mumford's relation and Mumford-Dalalyan theory. 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. |
Publisher: | The Johns Hopkins University Press | Project: | Serbian Ministry of Science and Technology, Project No. 1643 |
Show full item record
SCOPUSTM
Citations
9
checked on Sep 8, 2024
Page view(s)
1
checked on Sep 7, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.