a-投影线的循环次p2覆盖数

IF 0.7 3区数学 Q3 MATHEMATICS

Journal of Number Theory Pub Date : 2025-06-18 DOI:10.1016/j.jnt.2025.05.016

Huy Dang , Steven R. Groen

引用次数: 0

摘要

我们研究了特征p>；2中Z/ p2z -盖的a数，并扩展了Farnell和Pries最初引入的Z/ pz -盖的技术。作为我们方法的一个应用，我们证明了“最小”Z/ 9z覆盖的a数可以从相关的分支基准中推导出来。

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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a-Numbers of cyclic degree p2 covers of the projective line

We investigate the a-numbers of

Z / p^{2} Z

-covers in characteristic

p > 2

and extend a technique originally introduced by Farnell and Pries for

Z / p Z

-covers. As an application of our approach, we demonstrate that the a-numbers of “minimal”

Z / 9 Z

-covers can be deduced from the associated branching datum.

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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.