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

Mathematics – Rings and Algebras

Scientific paper

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10 pages, using XYPIC

Scientific paper

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.

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