9 citations · 9 across the 2 of their papers we have counts for
3 papers
math.DS2005
Le groupoïde de Galois de et son irréductibilité
Guy Casale
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 $…
math.DS2005★ 9 cited
Enveloppe galoisienne d'une application rationnelle de P1
Guy Casale
The D-envelope (or galoisian envelope) of rational endomorphisms of P1 are computed. One obtain the following theorem : "the rational transformations of P1 with an invariant meromo…
math.DS2005
Feuilletages singuliers de codimension un, Groupoïde de Galois et intégrales premières
Guy Casale
We study the Galois groupoid of a holomorphic singular codimension one foliation. Geometric and algebraic caracterisations using Godbillon-Vey sequences and classical first integra…