算术基本群非几何截面的进一步例子
数论
2021-10-01 v1 代数几何
摘要
我们证明了在某些双曲曲线在p进局部域上的几何幂零 by 阿贝尔算术基本群中存在群论截面,这些截面是非几何的,即不源于有理点。这些商群中包含几何亚 Abel 算术基本群。
关键词
引用
@article{arxiv.2109.14882,
title = {Further examples of non-geometric sections of arithmetic fundamental groups},
author = {Mohamed Saidi},
journal= {arXiv preprint arXiv:2109.14882},
year = {2021}
}
备注
Accepted for publication in Publications of the Research Institute for Mathematical Sciences. arXiv admin note: text overlap with arXiv:1510.06864