Further examples of non-geometric sections of arithmetic fundamental groups

DOI10.4171/prims/59-3-5arXiv2109.14882MaRDI QIDQ6081847

Mohamed Saïdi

Publication date: 26 October 2023

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.14882

zbMATH Keywords

fundamental groupsnon-geometric sections

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Coverings of curves, fundamental group (14H30)

Cites Work

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• A local-global principle for torsors under geometric prosolvable fundamental groups
• The cuspidalisation of sections of arithmetic fundamental groups
• Existence of nongeometric pro-\(p\) Galois sections of hyperbolic curves
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• The local pro-p anabelian geometry of curves
• On the existence of non-geometric sections of arithmetic fundamental groups
• The cuspidalisation of sections of arithmetic fundamental groups. II
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.

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