Geodesic
An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces
Documenta mathematica, Tome 3 (1998), pp. 135-148.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We give an alternative proof of the Hasse principle for principal homogeneous spaces defined over fields of virtual cohomological dimension at most one which is based on a special decomposition of elements in Chevalley groups.
Classification : 20G10, 11E72, 12D15 
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     author = {Chernousov, Vladimir},
     title = {An alternative proof of {Scheiderer's} theorem on the {Hasse} principle for principal homogeneous spaces},
     journal = {Documenta mathematica},
     pages = {135--148},
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     volume = {3},
     year = {1998},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_1998__3__a13/}
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Chernousov, Vladimir. An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces. Documenta mathematica, Tome 3 (1998), pp. 135-148. http://geodesic.mathdoc.fr/item/DOCMA_1998__3__a13/