具有定义在$\Q$以外数域上点的素数幂层次亏格$0$模曲线
数论
2022-08-05 v1
摘要
对于满足且的的开子群,存在一个模曲线,它是定义在的某个扩张上的光滑紧曲线。在本文中,我们给出所有此类具有一个点的素数幂层次亏格模曲线的完整列表。
引用
@article{arxiv.2208.02452,
title = {Genus $0$ Modular curves of prime power level with a point defined over number fields other than $\Q$},
author = {Rakvi},
journal= {arXiv preprint arXiv:2208.02452},
year = {2022}
}
备注
arXiv admin note: substantial text overlap with arXiv:2105.14623