Picard-Vessiot theory for real partial differential fields
Algebraic Geometry
2021-04-13 v2
Abstract
We prove the existence of real Picard-Vessiot extensions for real partial differential fields with real closed field of constants. We establish a Galois correspondence theorem for these Picard-Vessiot extensions and characterize real Liouville extensions of real partial differential fields.
Keywords
Cite
@article{arxiv.1302.1703,
title = {Picard-Vessiot theory for real partial differential fields},
author = {Teresa Crespo and Zbigniew Hajto},
journal= {arXiv preprint arXiv:1302.1703},
year = {2021}
}
Comments
The results in this article were based on a result in a previous paper, where the given proof was incorrect