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.
Cite this article
Vladimir Chernousov, An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces. Doc. Math. 3 (1998), pp. 135–148DOI 10.4171/DM/38