Foliations and Galois Theory in Positive Characteristic
Algebraic Geometry
2023-07-24 v1 Commutative Algebra
Rings and Algebras
Abstract
We prove a Galois-type correspondence between compositions of purely inseparable field extensions (including infinite ones) and subalgebras of differential operators. This correspondence can be utilized to establish a connection between separable field extensions and purely inseparable field extensions. Specifically, it serves as a progression towards gaining a deeper comprehension of a foliation theory on varieties in positive characteristic.
Keywords
Cite
@article{arxiv.2307.11746,
title = {Foliations and Galois Theory in Positive Characteristic},
author = {Przemyslaw Grabowski},
journal= {arXiv preprint arXiv:2307.11746},
year = {2023}
}
Comments
29 pages. Comments welcome!