Th\'eorie analytique locale des \'equations aux $q$-diff\'erences de pentes arbitraires
Dynamical Systems
2020-06-08 v1
Abstract
The local analytic classification and the description of the Galois group for complex linear analytic q-difference equations have been obtained by Ramis, Sauloy and Zhang [15, 14] under the assumption that the slopes of the Newton polygon are integral. In this work, we relax that assumption.
Keywords
Cite
@article{arxiv.2006.03237,
title = {Th\'eorie analytique locale des \'equations aux $q$-diff\'erences de pentes arbitraires},
author = {Jacques Sauloy},
journal= {arXiv preprint arXiv:2006.03237},
year = {2020}
}
Comments
En fran\c{c}ais. 72 pages. 3 figures. Soumis pour publication