{\sigma}-Galois theory of linear difference equations
Commutative Algebra
2020-11-17 v1 Complex Variables
Dynamical Systems
Abstract
We develop a Galois theory for systems of linear difference equations with an action of an endomorphism {\sigma}. This provides a technique to test whether solutions of such systems satisfy {\sigma}-polynomial equations and, if yes, then characterize those. We also show how to apply our work to study isomonodromic difference equations and difference algebraic properties of meromorphic functions.
Cite
@article{arxiv.1304.2649,
title = {{\sigma}-Galois theory of linear difference equations},
author = {Alexey Ovchinnikov and Michael Wibmer},
journal= {arXiv preprint arXiv:1304.2649},
year = {2020}
}