A criterion for $p$-closedness of derivations in dimension two
Algebraic Geometry
2024-09-06 v1
Abstract
Jacobson developed a counterpart of Galois theory for purely inseparable field extensions in positive characteristic. In his theory, a certain type of derivations replace the role of the generators of Galois groups. This article provides a convenient criterion for determining such derivations in dimension two. We also present examples demonstrating the efficiency of our criterion.
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Cite
@article{arxiv.2409.03442,
title = {A criterion for $p$-closedness of derivations in dimension two},
author = {Kentaro Mitsui and Nobuo Sato},
journal= {arXiv preprint arXiv:2409.03442},
year = {2024}
}
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4 pages