Embeddings of maximal tori in classical groups and explicit Brauer–Manin obstruction
Journal of the European Mathematical Society, Tome 20 (2018) no. 1, pp. 137-163
We give necessary and sufficient conditions for the Hasse principle to hold for the embeddings of maximal tori into classical groups over global fields of characteristic not 2.
Classification :
11-XX, 20-XX
Keywords: Maximal tori, classical groups, oriented embeddings, local-global principles, Brauer–Manin obstruction
Keywords: Maximal tori, classical groups, oriented embeddings, local-global principles, Brauer–Manin obstruction
@article{JEMS_2018_20_1_a5,
author = {Eva Bayer-Fluckiger and Ting-Yu Lee and Raman Parimala},
title = {Embeddings of maximal tori in classical groups and explicit {Brauer{\textendash}Manin} obstruction},
journal = {Journal of the European Mathematical Society},
pages = {137--163},
year = {2018},
volume = {20},
number = {1},
doi = {10.4171/jems/762},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/762/}
}
TY - JOUR AU - Eva Bayer-Fluckiger AU - Ting-Yu Lee AU - Raman Parimala TI - Embeddings of maximal tori in classical groups and explicit Brauer–Manin obstruction JO - Journal of the European Mathematical Society PY - 2018 SP - 137 EP - 163 VL - 20 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/762/ DO - 10.4171/jems/762 ID - JEMS_2018_20_1_a5 ER -
%0 Journal Article %A Eva Bayer-Fluckiger %A Ting-Yu Lee %A Raman Parimala %T Embeddings of maximal tori in classical groups and explicit Brauer–Manin obstruction %J Journal of the European Mathematical Society %D 2018 %P 137-163 %V 20 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4171/jems/762/ %R 10.4171/jems/762 %F JEMS_2018_20_1_a5
Eva Bayer-Fluckiger; Ting-Yu Lee; Raman Parimala. Embeddings of maximal tori in classical groups and explicit Brauer–Manin obstruction. Journal of the European Mathematical Society, Tome 20 (2018) no. 1, pp. 137-163. doi: 10.4171/jems/762
Cité par Sources :