M.Ojanguren, I.Panin, K.Zainoulline: On the Norm Principle for Quadratic Forms

manuel.ojanguren@epfl.ch, panin@pdmi.ras.ru, kirill@mathematik.uni-bielefeld.de

Submission: 2004, Aug 31

This is an extended and revised version of the Preprint SFB478, Muenster. We prove a version of Knebusch's Norm Principle for finite etale extensions of semi-local Noetherian domains with infinite residue fields of characteristic different from 2. As an application we prove Grothendieck's conjecture on principal homogeneous spaces for the spinor group of a quadratic space.

2000 Mathematics Subject Classification: 20G35, 13H05

Keywords and Phrases: quadratic space, spinor group, local ring

Full text: dvi.gz 22 k, dvi 54 k, ps.gz 564 k, pdf.gz 129 k, pdf 157 k.

Server Home Page