A variant of the Springer Theorem, by Ivan Panin and Ulf Rehmann

In this preprint we consider a noetherian local ring with an infinite residue field of characteristic different of 2 and a quadratic space over the ring. Assuming that the space becomes isotropic over a finite etale extension of odd degree we prove that the space is isotropic over the original ring too.


Ivan Panin <panin@pdmi.ras.ru>
Ulf Rehmann <rehmann@mathematik.uni-bielefeld.de>