Let be a smooth irreducible affine curve over an algebraically closed field of positive characteristic and let be its fundamental group. We study various embedding problems for and its subgroups.
Soit une courbe affine irréductible lisse sur un corps algébriquement fermé de caractéristique positive et soit son groupe fondamental. Nous étudions divers problèmes de plongement pour et ses sous-groupes.
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Keywords: ramification, embedding problem, fundamental group, positive characteristic, formal patching
Mot clés : ramification, problèmes de plongement, groupe fondamental, caractéristique positive, recollement formel

@article{AIF_2017__67_6_2623_0, author = {Kumar, Manish}, title = {Embedding problems for open subgroups of the fundamental group}, journal = {Annales de l'Institut Fourier}, pages = {2623--2649}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {67}, number = {6}, year = {2017}, doi = {10.5802/aif.3145}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3145/} }
TY - JOUR AU - Kumar, Manish TI - Embedding problems for open subgroups of the fundamental group JO - Annales de l'Institut Fourier PY - 2017 SP - 2623 EP - 2649 VL - 67 IS - 6 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3145/ DO - 10.5802/aif.3145 LA - en ID - AIF_2017__67_6_2623_0 ER -
%0 Journal Article %A Kumar, Manish %T Embedding problems for open subgroups of the fundamental group %J Annales de l'Institut Fourier %D 2017 %P 2623-2649 %V 67 %N 6 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3145/ %R 10.5802/aif.3145 %G en %F AIF_2017__67_6_2623_0
Kumar, Manish. Embedding problems for open subgroups of the fundamental group. Annales de l'Institut Fourier, Volume 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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