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

Source: [On Knebusch's Norm Principle for quadratic forms over semi-local rings](<https://www.sota2.com/research/paper/68fa4d251e209131ce95231f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T04:44:55.241Z

Authors: K.Zainoulline

Published: 2003-04-25T10:58:45.000Z

## 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0304408>)

[PDF](<https://arxiv.org/pdf/math/0304408.pdf>)