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A criterion for $p$-closedness of derivations in dimension two

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arxiv 2409.03442 v1 pith:IXOVJKQ3 submitted 2024-09-05 math.AG

classification math.AG
keywords criterionderivationsdimensiongaloistheoryarticlecertaincharacteristic
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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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