Specialisation of the Galois groupoid of a vector field
Classical Analysis and ODEs
2020-04-21 v1 Complex Variables
Differential Geometry
Abstract
We prove lower semicontinuity of the Galois groupoid of a vector field dependingon parameters. Apply to Painlev{\'e} equations, this result can be used to compute theirsGalois groupoids for general values of parameters.
Cite
@article{arxiv.2004.09122,
title = {Specialisation of the Galois groupoid of a vector field},
author = {Guy Casale and Damien Davy},
journal= {arXiv preprint arXiv:2004.09122},
year = {2020}
}
Comments
in French