Further examples of non-geometric sections of arithmetic fundamental groups
Number Theory
2021-10-01 v1 Algebraic Geometry
Abstract
We show the existence of group-theoretic sections of certain geometrically pro-nilpotent by abelian arithmetic fundamental groups of hyperbolic curves over p-adic local fields which are non-geometric, i.e., which do not arise from rational points. Among these quotients is the geometrically metabelian arithmetic fundamental group.
Keywords
Cite
@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}
}
Comments
Accepted for publication in Publications of the Research Institute for Mathematical Sciences. arXiv admin note: text overlap with arXiv:1510.06864