Six results on Painleve VI
| dc.creator | Boalch, Philip | |
| dc.date | 2005-03-02 | |
| dc.date | 2005-09-14 | |
| dc.date.accessioned | 2026-07-07T05:17:37Z | |
| dc.date.available | 2026-07-07T05:17:37Z | |
| dc.description | After recalling some of the geometry of the sixth Painleve equation, we will describe how the Okamoto symmetries arise naturally from symmetries of Schlesinger's equations and summarise the classification of the Platonic Painleve six solutions. A key observation is that Painleve VI governs the isomonodromic deformations of certain Fuchsian systems on rank \emph{three} bundles. | |
| dc.description | 16 pages, written for Angers 2004 International Conference on Asymptotic Theories and Painleve Equations (updated, added Remark 7 giving simple formulae for isomonodromic families of rank three systems in terms of PVI solutions and as an example the full family of "Klein connections" are written down) | |
| dc.identifier | https://arxiv.org/abs/math/0503043 | |
| dc.identifier | http://arxiv.org/abs/math/0503043 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74368 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Six results on Painleve VI | |
| dc.type | text |