Fine Selmer groups of CM elliptic curves

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Number Theory Pub Date : 2025-06-18 DOI:10.1016/j.jnt.2025.05.012

Meng Fai Lim , Jun Wang , Dong Yan

引用次数: 0

Abstract

Let E be a CM elliptic curve defined over imaginary quadratic field K with good ordinary reduction at an odd prime p. We compute the sum of second Chern class of fine Selmer group and its involution. After specialization, we study certain properties of the zeros of the fine Selmer group over the anticyclotomic

Z_{p}

-extension of K.

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CM椭圆曲线的精细Selmer群

设E是一条定义在虚二次域K上的CM椭圆曲线，在奇素数p处具有良好的常约化。我们计算了二阶精细Selmer群的Chern和及其对合。在专门化之后，我们研究了K在抗细胞分裂的zp扩展上的精细Selmer群的零的某些性质。

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

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.