no. 6
Embedding problems for open subgroups of the fundamental group
[Problèmes de plongement pour les sous-groupes ouverts du groupe fondamental]
Kumar, Manish1
1 Statistics and Mathematics Unit Indian Statistical Institute Bangalore, 560059 (India)
Annales de l'Institut Fourier, Tome 67 (2017) no. 6, pp. 2623-2649.

Soit C une courbe affine irréductible lisse sur un corps algébriquement fermé de caractéristique positive et soit π 1 (C) son groupe fondamental. Nous étudions divers problèmes de plongement pour π 1 (C) et ses sous-groupes.

Let C be a smooth irreducible affine curve over an algebraically closed field of positive characteristic and let π 1 (C) be its fundamental group. We study various embedding problems for π 1 (C) and its subgroups.

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DOI : 10.5802/aif.3145
Classification : 14H30, 14G32, 12F10
Keywords: ramification, embedding problem, fundamental group, positive characteristic, formal patching
Mots-clés : ramification, problèmes de plongement, groupe fondamental, caractéristique positive, recollement formel

Kumar, Manish 1

1 Statistics and Mathematics Unit Indian Statistical Institute Bangalore, 560059 (India)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Kumar, Manish. Embedding problems for open subgroups of the fundamental group. Annales de l'Institut Fourier, Tome 67 (2017) no. 6, pp. 2623-2649. doi : 10.5802/aif.3145. https://aif.centre-mersenne.org/articles/10.5802/aif.3145/

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