On the existence of non-geometric sections of arithmetic fundamental groups
Number Theory
2015-10-26 v1 Algebraic Geometry
Abstract
We show the existence of group-theoretic sections of the "etale-by-geometrically abelian" quotient of the arithmetic fundamental group of hyperbolic curves over -adic local fields relative to a proper and flat model which are non-geometric, i.e., which do not arise from rational points.
Keywords
Cite
@article{arxiv.1510.06864,
title = {On the existence of non-geometric sections of arithmetic fundamental groups},
author = {Mohamed Saidi},
journal= {arXiv preprint arXiv:1510.06864},
year = {2015}
}