Comptes Rendus
Number theory
On sections of arithmetic fundamental groups of open p-adic annuli
Mohamed Saïdi1
1 College of Engineering, Mathematics, and Physical Sciences, University of Exeter, Harrison Building, North Park Road, EXETER EX4 4QF, United Kingdom
Comptes Rendus. Mathématique, Volume 360 (2022), pp. 291-296

We show the non-existence of sections of arithmetic fundamental groups of open p-adic annuli of small radii. This implies the non-existence of sections of arithmetic fundamental groups of formal boundaries of formal germs of p-adic curves.

Received:
Accepted:
Published online:
DOI: 10.5802/crmath.303

Mohamed Saïdi 1

1 College of Engineering, Mathematics, and Physical Sciences, University of Exeter, Harrison Building, North Park Road, EXETER EX4 4QF, United Kingdom
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Mohamed Saïdi. On sections of arithmetic fundamental groups of open $p$-adic annuli. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 291-296. doi: 10.5802/crmath.303

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