We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.
Nous introduisons un nouveau schéma en groupes fondamental pour les variétés définies sur un corps algébriquement clos (ou simplement parfait) de caractéristique positive. Nous utilisons ce schéma en groupes pour étudier des généralisations en caractéristique positive des résultats de C. Simpson. Nous étudions également quelques propriétés de ce schéma en groupes fondamental, en particulier nous obtenons des résultats de type “Lefschetz”.
Keywords: Fundamental group, positive characteristic, numerically flat bundles, Lefschetz type theorems
Mot clés : groupe fondamental, caractéristique positive, fibres numériquement plate, résultats type “Lefschetz”
Langer, Adrian 1
@article{AIF_2011__61_5_2077_0, author = {Langer, Adrian}, title = {On the {S-fundamental} group scheme}, journal = {Annales de l'Institut Fourier}, pages = {2077--2119}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {61}, number = {5}, year = {2011}, doi = {10.5802/aif.2667}, mrnumber = {2961849}, zbl = {1247.14019}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2667/} }
TY - JOUR AU - Langer, Adrian TI - On the S-fundamental group scheme JO - Annales de l'Institut Fourier PY - 2011 SP - 2077 EP - 2119 VL - 61 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2667/ DO - 10.5802/aif.2667 LA - en ID - AIF_2011__61_5_2077_0 ER -
%0 Journal Article %A Langer, Adrian %T On the S-fundamental group scheme %J Annales de l'Institut Fourier %D 2011 %P 2077-2119 %V 61 %N 5 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2667/ %R 10.5802/aif.2667 %G en %F AIF_2011__61_5_2077_0
Langer, Adrian. On the S-fundamental group scheme. Annales de l'Institut Fourier, Volume 61 (2011) no. 5, pp. 2077-2119. doi : 10.5802/aif.2667. https://aif.centre-mersenne.org/articles/10.5802/aif.2667/
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