论魏尔-斯塔克元素，I：构造和一般性质

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-10-17 DOI:10.1112/jlms.70001

David Burns, Daniel Macias Castillo, Soogil Seo

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引用次数: 0

摘要

我们在全域单位群的还原外部幂中构建了一个典型的元素族，并研究了它们的详细算术性质。然后，我们证明这些元素的特殊性恢复了实无性域中循环元素的经典理论，并与一般数域上 Z p ( 1 ) $\mathbb {Z}_p(1)$ 的非交换欧拉系统理论有关联。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On Weil–Stark elements, I: Construction and general properties

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On Weil–Stark elements, I: Construction and general properties

We construct a canonical family of elements in the reduced exterior powers of unit groups of global fields and investigate their detailed arithmetic properties. We then show that these elements specialise to recover the classical theory of cyclotomic elements in real abelian fields and also have connections to the theory of non-commutative Euler systems for $Z_{p} (1)$ over general number fields.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.