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arXiv:2307.11746 [math.AG]AbstractReferencesReviewsResources

Foliations and Galois Theory in Positive Characteristic

Przemyslaw Grabowski

Published 2023-07-21Version 1

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.

Comments: 29 pages. Comments welcome!
Categories: math.AG, math.AC, math.RA
Subjects: 12F15, 12F20, 13B05, 13N10, 13N15, 16S32
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