Back to Search
Start Over
Irréductibilité de la première équation de Painlevé
- Source :
-
Comptes Rendus. Mathématique . Jul2006, Vol. 343 Issue 2, p95-98. 4p. - Publication Year :
- 2006
-
Abstract
- Abstract: A definition of reducibility for algebraic codimension two foliations given by closed 2-forms is proposed. Reducible foliations are characterised on theirs Galois groupoids. We apply this to the foliation given by the first Painlevé equation. Its Galois groupoid is computed and this proves its irreducibility. To cite this article: G. Casale, C. R. Acad. Sci. Paris, Ser. I 343 (2006). [Copyright &y& Elsevier]
- Subjects :
- *GALOIS theory
*GROUPOIDS
*FOLIATIONS (Mathematics)
*GROUP theory
*ALGEBRA
Subjects
Details
- Language :
- French
- ISSN :
- 1631073X
- Volume :
- 343
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 21576874
- Full Text :
- https://doi.org/10.1016/j.crma.2006.06.006