给定椭圆曲线的二次扭上有理点的高度
数论
2017-05-17 v2
摘要
我们提出了一个关于给定椭圆曲线的二次扭上最低非挠有理点的典范高度分布（随扭变化）的猜想。该猜想似乎非常深刻，我们只能证明这个方向的部分结果。
引用
@article{arxiv.1404.7738,
title = {Height of rational points on quadratic twists of a given elliptic curve},
author = {Pierre Le Boudec},
journal= {arXiv preprint arXiv:1404.7738},
year = {2017}
}
备注
The results are now stated using (the exponential of) the canonical height. Thanks to Joe Silverman for enlightening comments on the previous version