中文

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IG-I \in Gdet(G)(\Zhat)×\det(G) \subsetneq (\Zhat)^{\times}\GL2(\Zhat)\GL_2(\Zhat)的开子群GG,存在一个模曲线XGX_G,它是定义在\Q\Q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00模曲线的完整列表。

关键词

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