Real and p-adic Picard-Vessiot fields
Algebraic Geometry
2017-04-18 v2
Abstract
We consider differential modules over real and p-adic differential fields such that their field of constants is real closed (respectively p-adically closed). Using Deligne's work on Tannakian categories and a result of Serre on Galois cohomology, a purely algebraic proof of the existence and unicity of real (respectively p-adic) Picard-Vessiot fields is obtained.
Keywords
Cite
@article{arxiv.1307.2388,
title = {Real and p-adic Picard-Vessiot fields},
author = {Teresa Crespo and Zbigniew Hajto and Marius van der Put},
journal= {arXiv preprint arXiv:1307.2388},
year = {2017}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1302.1012