中文

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