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

Mohamed Saidi

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arXiv · 1510.06864

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

Mohamed Saidi

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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.

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Mohamed Saidi. 2015-10-23. On the existence of non-geometric sections of arithmetic fundamental groups. https://arxiv.org/abs/1510.06864

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