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

DOI10.1007/s00209-013-1260-8zbMath1327.14105arXiv1510.06864OpenAlexW2131583920WikidataQ57920658 ScholiaQ57920658MaRDI QIDQ2249634

Mohamed Saïdi

Publication date: 3 July 2014

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06864

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Coverings of curves, fundamental group (14H30) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items (2)

On sections of arithmetic fundamental groups of open \(p\)-adic annuli ⋮ Further examples of non-geometric sections of arithmetic fundamental groups

Cites Work

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• The cuspidalisation of sections of arithmetic fundamental groups
• Existence of nongeometric pro-\(p\) Galois sections of hyperbolic curves
• Abelian étale coverings currents on graphs and semistable reduction of curves
• On the \(p\)-adic section conjecture
• Galois sections for abelianized fundamental groups
• Spécialisation du foncteur de Picard

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