互易束的分支理论，I: Zariski-Nagata纯度

IF 1.2 1区数学 Q1 MATHEMATICS

Journal fur die Reine und Angewandte Mathematik 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

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.