On the existence of non-geometric sections of arithmetic fundamental groups

2015/10/23 by Mohamed Saidi · 1 citation
Mathematics · #math.NT #math.AG

paper · pdf

published as Mathematische Zeitschrift 277, no. 1-2 (2014), 361-372

arxiv created 2015/10/23 · arxiv updated 2015/10/26

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 p-adic local fields relative to a proper and flat model which are non-geometric, i.e., which do not arise from rational points.

Cited by

• Further examples of non-geometric sections of arithmetic fundamental groups