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arXiv · 2307.11746

Foliations and Galois Theory in Positive Characteristic

Przemyslaw Grabowski
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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.

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Przemyslaw Grabowski. 2023-07-21. Foliations and Galois Theory in Positive Characteristic. https://arxiv.org/abs/2307.11746

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