JournalsdmVol. 3pp. 135–148

An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces

  • Vladimir Chernousov

    Fakultat fur Mathematik Universitat Bielefeld D 33501 Bielefeld, Germany
An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces cover
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Abstract

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.

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Vladimir Chernousov, An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces. Doc. Math. 3 (1998), pp. 135–148

DOI 10.4171/DM/38