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A criterion for $p$-closedness of derivations in dimension two
- Publication Year :
- 2024
-
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.<br />Comment: 4 pages
- Subjects :
- Mathematics - Algebraic Geometry
12F15 (Primary) 14G17, 14J17 (Secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2409.03442
- Document Type :
- Working Paper