19 citations · 51 across the 14 of their papers we have counts for
4 papers · 1 filter
Primitive Lie algebras of rational vector fields
Guy Casale, Frank Loray, Jorge Vitório Pereira +1
A transitive Lie algebra g of rational vector fields on a projective manifold which do not preserve any foliation determines a rational map to an algebraic homogenous space G/H whi…
Galois groupoid and confluence of difference equations
Guy Casale, Damien Davy
In this article we compute Galois groupoid of discret Painlev{é} equations. Our main tool is a semi-continuity theorem for the Galois groupoid in a confluence situation of a diffre…
Malgrange-Galois groupoid of Painlevé VI equation with parameters
David Blázquez-Sanz, Guy Casale, Juan Sebastián Díaz Arboleda
The Malgrange-Galois groupoid of Painlevé IV equations is known to be, for very general values of parameters, the pseudogroup of transformations of the phase space preserving a vol…
Specialisation of the Galois groupoid of a vector field
Guy Casale, Damien Davy
We prove lower semicontinuity of the Galois groupoid of a vector field dependingon parameters. Apply to Painlev{é} equations, this result can be used to compute theirsGalois groupo…