On the norm principle for quadratic forms

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dc.creatorOjanguren, M.
dc.creatorPanin, I.
dc.creatorZainoulline, K.
dc.date2003-11-26
dc.date2004-08-31
dc.date.accessioned2026-07-07T06:23:16Z
dc.date.available2026-07-07T06:23:16Z
dc.descriptionWe 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.
dc.description14 pages, hyperref, xypic, (This is an extended and revised version of the previous preprint: The proof of Grothendieck's conjecture on Principal Homogeneous Spaces for the case of spinor group was added)
dc.identifierhttps://arxiv.org/abs/math/0311473
dc.identifierhttp://arxiv.org/abs/math/0311473
dc.identifierJ. Ramanujan Math. Soc. 19 (2004), no.4, 1-12
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96169
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject20G35; 13H05
dc.titleOn the norm principle for quadratic forms
dc.typetext

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