二维导数的$p$封闭性标准

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-05 DOI:arxiv-2409.03442

Kentaro Mitsui, Nobuo Sato

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引用次数: 0

摘要

雅各布森为正特征的纯不可分场扩展提出了伽罗瓦理论的对应理论。在他的理论中，某类衍生取代了伽罗瓦群的生成器的作用。本文提供了一个方便的判据，用于确定二维中的这类衍生。我们还举例说明了我们的准则的效率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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arXiv - MATH - Algebraic Geometry

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