在ℚ上定义的非 CM 同源-扭转图的 2-Adic 伽罗瓦图像

IF 0.7 4区数学 Q2 MATHEMATICS

Experimental Mathematics Pub Date : 2024-04-25 DOI:10.1080/10586458.2024.2336060

Garen Chiloyan

引用次数: 0

摘要

设 E 是定义在 Q 上的无 CM 的椭圆曲线的 Q-isogeny 类。与 E 相关的同源图是这样一个图：E 中的每条椭圆曲线都有一个顶点，每条 Q-isogeny 曲线都有一条边。

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

2-Adic Galois Images of Non-CM Isogeny-Torsion Graphs Defined over ℚ

Let E be a Q-isogeny class of elliptic curves defined over Q without CM. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in E and an edge for each Q-isogeny ...

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

Experimental Mathematics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Experimental Mathematics publishes original papers featuring formal results inspired by experimentation, conjectures suggested by experiments, and data supporting significant hypotheses. Experiment has always been, and increasingly is, an important method of mathematical discovery. (Gauss declared that his way of arriving at mathematical truths was "through systematic experimentation.") Yet this tends to be concealed by the tradition of presenting only elegant, fully developed, and rigorous results. Experimental Mathematics was founded in the belief that theory and experiment feed on each other, and that the mathematical community stands to benefit from a more complete exposure to the experimental process. The early sharing of insights increases the possibility that they will lead to theorems: An interesting conjecture is often formulated by a researcher who lacks the techniques to formalize a proof, while those who have the techniques at their fingertips have been looking elsewhere. Even when the person who had the initial insight goes on to find a proof, a discussion of the heuristic process can be of help, or at least of interest, to other researchers. There is value not only in the discovery itself, but also in the road that leads to it.