zp2扩展中非普通素数动机的有符号Selmer群

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Number Theory Pub Date : 2025-05-06 DOI:10.1016/j.jnt.2025.02.011

Jishnu Ray , Florian Ito Sprung

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引用次数: 0

摘要

本文给出了由第一作者和csamdric Dion构造的多符号Coleman映射在非一般动机的虚二次域的zp2扩展上的若干算法应用。我们的第一个结果是多符号Selmer群在zp2 -扩展上的控制定理，第二个结果是两个同模p的多符号Selmer群的Iwasawa μ-不变量的变化。

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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On the signed Selmer groups for motives at non-ordinary primes in Zp2-extensions

In this paper, we give certain arithmetic applications of the multi-signed Coleman maps constructed by the first author and Cédric Dion over the

Z_{p}^{2}

-extension of an imaginary quadratic field for non-ordinary motives. Our first result is a control theorem for multi-signed Selmer groups over the

Z_{p}^{2}

-extension and our second result is the variation of the Iwasawa μ-invariants for two such representations which are congruent modulo p.

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来源期刊

Journal of Number Theory 数学-数学

CiteScore

1.30

自引率

14.30%

发文量

122

审稿时长

16 weeks

期刊介绍： The Journal of Number Theory (JNT) features selected research articles that represent the broad spectrum of interest in contemporary number theory and allied areas. A valuable resource for mathematicians, the journal provides an international forum for the publication of original research in this field. The Journal of Number Theory is encouraging submissions of quality, long articles where most or all of the technical details are included. The journal now considers and welcomes also papers in Computational Number Theory. Starting in May 2019, JNT will have a new format with 3 sections: JNT Prime targets (possibly very long with complete proofs) high impact papers. Articles published in this section will be granted 1 year promotional open access. JNT General Section is for shorter papers. We particularly encourage submission from junior researchers. Every attempt will be made to expedite the review process for such submissions. Computational JNT . This section aims to provide a forum to disseminate contributions which make significant use of computer calculations to derive novel number theoretic results. There will be an online repository where supplementary codes and data can be stored.