On the norm principle for quadratic forms

Details On the norm principle for quadratic forms On the norm principle for quadratic forms

2003-11-26

arxiv.org/abs/math/0311473v2

J. Ramanujan Math. Soc. 19 (2004), no.4, 1-12

Mathematics

Algebraic Geometry

14 pages, hyperref, xypic, (This is an extended and revised version of the previous preprint: The proof of Grothendieck's conj

Scientific paper

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.

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