论 F $F$ 纯度的驯服斜面和中心

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-26 DOI:10.1112/jlms.12993

Javier Carvajal-Rojas, Anne Fayolle

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引用次数: 0

摘要

我们引入了一般有限盖的驯服斜伸概念。当它专门用于可分离的情况时，它将戴德金域和曲线的经典驯化斜率概念扩展到了更高维度，并很好地介于算术几何中的其他驯化斜率概念之间。然而，当应用于弗罗贝尼斯映射时，它自然会产生 F $F$ 纯度中心的概念（又称兼容 F $F$ 分裂子域）。作为一种应用，我们描述了 F $F$ -纯度中心在有限覆盖下的行为--这一切都归结为塔中驯服斜切的反证性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On tame ramification and centers of

F
$F$
-purity

查看原文本刊更多论文

On tame ramification and centers of F $F$ -purity

We introduce a notion of tame ramification for general finite covers. When specialized to the separable case, it extends to higher dimensions the classical notion of tame ramification for Dedekind domains and curves and sits nicely in between other notions of tame ramification in arithmetic geometry. However, when applied to the Frobenius map, it naturally yields the notion of center of $F$ -purity (aka compatibly $F$ -split subvariety). As an application, we describe the behavior of centers of $F$ -purity under finite covers — it all comes down to a transitivity property for tame ramification in towers.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.