互易束的分支理论，I: Zariski-Nagata纯度

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-11-02 DOI:10.1515/crelle-2022-0094

Kay Rülling, S. Saito

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引用次数: 5

摘要

摘要证明了互易轴的动力分支过滤的一个Zariski-Nagata纯洁性定理。证明中的一个重要工具是将几何全局类场理论中的加藤-斋藤互易映射推广到所有互易束。作为推论，我们得到了各种分支过滤的曲线切割和曲面切割准则。在某些情况下，这反驳了已知的定理，在某些情况下，我们得到了新的结果。

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Ramification theory of reciprocity sheaves, I: Zariski–Nagata purity

Abstract We prove a Zariski–Nagata purity theorem for the motivic ramification filtration of a reciprocity sheaf. An important tool in the proof is a generalization of the Kato-Saito reciprocity map from geometric global class field theory to all reciprocity sheaves. As a corollary we obtain cut-by-curves and cut-by-surfaces criteria for various ramification filtrations. In some cases this reproves known theorems, in some cases we obtain new results.

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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.