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On the norm principle for quadratic forms

M. Ojanguren·I. Panin·K. Zainoulline
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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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M. Ojanguren, I. Panin, K. Zainoulline. 2004-08-31. On the norm principle for quadratic forms. https://arxiv.org/abs/math/0311473

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