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

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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.
DOI : 10.4171/dm/38
Classification : 11E72, 12D15, 20G10 
Vladimir Chernousov. An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces. Documenta mathematica, Tome 3 (1998), pp. 135-148. doi: 10.4171/dm/38
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     title = {An alternative proof of {Scheiderer's} theorem on the {Hasse} principle for principal homogeneous spaces},
     journal = {Documenta mathematica},
     pages = {135--148},
     year = {1998},
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     doi = {10.4171/dm/38},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/38/}
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