Further Examples of Non-geometric Sections of Arithmetic Fundamental Groups
Mohamed Saïdi
University of Exeter, UK
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Abstract
We show the existence of group-theoretic sections of certain geometrically pro-nilpotent by abelian arithmetic fundamental groups of hyperbolic curves over -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.
Cite this article
Mohamed Saïdi, Further Examples of Non-geometric Sections of Arithmetic Fundamental Groups. Publ. Res. Inst. Math. Sci. 59 (2023), no. 3, pp. 571–586
DOI 10.4171/PRIMS/59-3-5