Hyperelliptic Prym Varieties and Integrable Systems
| dc.creator | Fernandes, Rui Loja | |
| dc.creator | Vanhaecke, Pol | |
| dc.date | 2000-11-29 | |
| dc.date | 2001-03-22 | |
| dc.date.accessioned | 2026-07-07T04:28:10Z | |
| dc.date.available | 2026-07-07T04:28:10Z | |
| dc.description | We introduce two algebraic completely integrable analogues of the Mumford systems which we call hyperelliptic Prym systems, because every hyperelliptic Prym variety appears as a fiber of their momentum map. As an application we show that the generic fiber of the momentum map of the periodic Volterra lattice $$\dot a_i=a_i(a_{i-1}-a_{i+1}), \qquad i=1,...,n,\quad a_{n+1}=a_1,$$ is an affine part of a hyperelliptic Prym variety, obtained by removing $n$ translates of the theta divisor, and we conclude that this integrable system is algebraic completely integrable. | |
| dc.description | Final version. To appear in CMP | |
| dc.identifier | https://arxiv.org/abs/math-ph/0011051 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0011051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56682 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | 35Q58, 37J35, 58J72, 70H06 | |
| dc.title | Hyperelliptic Prym Varieties and Integrable Systems | |
| dc.type | text |