Nous présentons dans cette courte Note une démonstration tannakienne du théorème de Grothendieck–Harder sur la classification des torseurs pour un groupe réductif, sur la droite projective définie sur un corps.
In this small note, we present a Tannakian proof of the theorem of Grothendieck–Harder on the classification of torsors under a reductive group on the projective line over a field.
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@article{CRMATH_2018__356_11-12_1203_0, author = {Ansch\"utz, Johannes}, title = {A {Tannakian} classification of torsors on the projective line}, journal = {Comptes Rendus. Math\'ematique}, pages = {1203--1214}, publisher = {Elsevier}, volume = {356}, number = {11-12}, year = {2018}, doi = {10.1016/j.crma.2018.10.006}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2018.10.006/} }
TY - JOUR AU - Anschütz, Johannes TI - A Tannakian classification of torsors on the projective line JO - Comptes Rendus. Mathématique PY - 2018 SP - 1203 EP - 1214 VL - 356 IS - 11-12 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2018.10.006/ DO - 10.1016/j.crma.2018.10.006 LA - en ID - CRMATH_2018__356_11-12_1203_0 ER -
%0 Journal Article %A Anschütz, Johannes %T A Tannakian classification of torsors on the projective line %J Comptes Rendus. Mathématique %D 2018 %P 1203-1214 %V 356 %N 11-12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2018.10.006/ %R 10.1016/j.crma.2018.10.006 %G en %F CRMATH_2018__356_11-12_1203_0
Anschütz, Johannes. A Tannakian classification of torsors on the projective line. Comptes Rendus. Mathématique, Tome 356 (2018) no. 11-12, pp. 1203-1214. doi : 10.1016/j.crma.2018.10.006. http://www.numdam.org/articles/10.1016/j.crma.2018.10.006/
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