On the norm principle for quadratic forms
M. Ojanguren, I. Panin, K. Zainoulline
Abstract
We prove a version of Knebusch's Norm Principle for finite étale 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.
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