arXiv subjects

Damien Davy

Publications and source records attributed to Damien Davy.

2 recordsLinked to original sources

arXiv2020

Galois groupoid and confluence of difference equations

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 diffrence equation to a differential equation.

math.AG↗

arXiv2020

Specialisation of the Galois groupoid of a vector field

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 groupoids for general values of parameters.

math.CA↗