A higher rank Euler system for Gm over a totally real field

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-25 DOI:10.1353/ajm.2023.0001

Ryotaro Sakamoto

引用次数: 2

Abstract

Abstract:In this paper, we construct a higher rank Euler system for $\\Bbb\{G\}_m$ over a totally real field by using Stickelberger elements. A key ingredient of the construction is to generalize the notion of the characteristic ideal. Under certain technical assumptions, we prove that all higher Fitting ideals of a certain $p$-ramified Iwasawa module are described by analytic invariants canonicallyassociated with Stickelberger elements.

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在全实数域上Gm的高阶欧拉系统

摘要：本文利用Stickelberger元素构造了一个全实域上$Bbb{G\}_m$的高阶Euler系统。构造的一个关键要素是概括特征理想的概念。在一定的技术假设下，我们证明了一个$p$分支Iwasawa模的所有更高拟合理想都是由与Stickelberger元素规范相关的分析不变量描述的。

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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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.