On the norm principle for quadratic forms
代数几何
2007-05-23 v2 交换代数
摘要
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.
引用
@article{arxiv.math/0311473,
title = {On the norm principle for quadratic forms},
author = {M. Ojanguren and I. Panin and K. Zainoulline},
journal= {arXiv preprint arXiv:math/0311473},
year = {2007}
}
备注
14 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)