Point configurations, Cremona transformations and the elliptic difference Painlevé equation
| dc.creator | Kajiwara, K. | |
| dc.creator | Masuda, T. | |
| dc.creator | Noumi, M. | |
| dc.creator | Ohta, Y. | |
| dc.creator | Yamada, Y. | |
| dc.date | 2004-11-02 | |
| dc.date.accessioned | 2026-07-07T05:36:03Z | |
| dc.date.available | 2026-07-07T05:36:03Z | |
| dc.description | A theoretical foundation for a generalization of the elliptic difference Painlevé equation to higher dimensions is provided in the framework of birational Weyl group action on the space of point configurations in general position in a projective space. By introducing an elliptic parametrization of point configurations, a realization of the Weyl group is proposed as a group of Cremona transformations containing elliptic functions in the coefficients. For this elliptic Cremona system, a theory of $τ$-functions is developed to translate it into a system of bilinear equations of Hirota-Miwa type for the $τ$-functions on the lattice. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0411003 | |
| dc.identifier | http://arxiv.org/abs/nlin/0411003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80864 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Algebraic Geometry | |
| dc.title | Point configurations, Cremona transformations and the elliptic difference Painlevé equation | |
| dc.type | text |