X0+(125)的有理点

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2023-09-01 DOI:10.1016/j.exmath.2023.02.009

Vishal Arul , J. Steffen Müller

引用次数: 0

摘要

我们用二次Chabauty方法计算了Atkin-Lehner商X0+(125)上的有理点。我们的工作完成了在2和6之间的属曲线X0+(N)上的异常有理点的研究。加上几位作者的工作，这就完成了对加尔布雷斯猜想的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Rational points on X0+(125)

We compute the rational points on the Atkin–Lehner quotient $X_{0}^{+} (125)$ using the quadratic Chabauty method. Our work completes the study of exceptional rational points on the curves $X_{0}^{+} (N)$ of genus between 2 and 6. Together with the work of several authors, this completes the proof of a conjecture of Galbraith.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

期刊介绍： Our aim is to publish papers of interest to a wide mathematical audience. Our main interest is in expository articles that make high-level research results more widely accessible. In general, material submitted should be at least at the graduate level.Main articles must be written in such a way that a graduate-level research student interested in the topic of the paper can read them profitably. When the topic is quite specialized, or the main focus is a narrow research result, the paper is probably not appropriate for this journal. Most original research articles are not suitable for this journal, unless they have particularly broad appeal.Mathematical notes can be more focused than main articles. These should not simply be short research articles, but should address a mathematical question with reasonably broad appeal. Elementary solutions of elementary problems are typically not appropriate. Neither are overly technical papers, which should best be submitted to a specialized research journal.Clarity of exposition, accuracy of details and the relevance and interest of the subject matter will be the decisive factors in our acceptance of an article for publication. Submitted papers are subject to a quick overview before entering into a more detailed review process. All published papers have been refereed.