Le groupoïde de Galois de $P\_1$ et son irréductibilité
| dc.creator | Casale, Guy | |
| dc.date | 2005-10-30 | |
| dc.date | 2006-03-27 | |
| dc.date.accessioned | 2026-07-07T06:48:07Z | |
| dc.date.available | 2026-07-07T06:48:07Z | |
| dc.description | In this article, the Galois groupoid of the first Painlevé equation is computed. This computation use E. Cartan's classification of structural equations of pseudogroups acting on $C^2$ and the degeneration of the first Painlevé equation on an elliptic equation ($y'' = 6y^2$). A definition of reducibility for singular holomorphic foliations is proposed. A characterisation of reducible foliations on their Galois groupoid is given and applied to prove the foliation irreducibility of the first Painlevé equation. | |
| dc.description | 34 pages, in french | |
| dc.identifier | https://arxiv.org/abs/math/0510657 | |
| dc.identifier | http://arxiv.org/abs/math/0510657 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103879 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 34Mxx | |
| dc.title | Le groupoïde de Galois de $P\_1$ et son irréductibilité | |
| dc.type | text |