Bogomolov性质和伽罗瓦表示

IF 0.7 3区数学 Q3 MATHEMATICS

Journal of Number Theory Pub Date : 2025-07-18 DOI:10.1016/j.jnt.2025.06.002

Francesco Amoroso , Lea Terracini

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引用次数: 0

摘要

P. Habegger在2013年证明了由有理椭圆曲线的扭转点在Q上产生的场的Bogomolov性质。我们探讨了将同样的证明策略应用于由更一般的模形式产生的伽罗瓦表示切割出的域扩展的情况的可能性。

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Bogomolov property and Galois representations

In 2013 P. Habegger proved the Bogomolov property for the field generated over

Q

by the torsion points of a rational elliptic curve. We explore the possibility of applying the same strategy of proof to the case of field extensions cut out by Galois representations arising from more general modular forms.

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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.