paper

On Knebusch's Norm Principle for quadratic forms over semi-local rings

arXiv:math/0304408

Abstract

We prove the version of Knebusch's Norm principle for simple extensions of (semi-)local rings. As an application we prove the Grothedieck-Serre's conjecture on principal homogeneous spaces for the split case of the spinor group.

10 pages, using XYPIC