A variant of a theorem by Springer

A variant of a theorem by Springer
HTML articles powered by AMS MathViewer

St. Petersburg Math. J. 19 (2008), 953-959

DOI: https://doi.org/10.1090/S1061-0022-08-01029-7

Published electronically: August 21, 2008

PDF | Request permission

The theorem in question gives a sufficient condition for a quadratic space over a local ring $R$ to contain a hyperbolic plane over $R$.

References

T. Y. Lam, The algebraic theory of quadratic forms, Mathematics Lecture Note Series, W. A. Benjamin, Inc., Reading, Mass., 1973. MR 0396410
I. Panin, Rationally isotropic quadratic spaces are locally isotropic, www.math.uiuc.edu/K-theory/0671/2003

Similar Articles

Retrieve articles in St. Petersburg Mathematical Journal with MSC (2000): 53A04, 52A40, 52A10
Retrieve articles in all journals with MSC (2000): 53A04, 52A40, 52A10

Bibliographic Information

I. Panin
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
Address at time of publication: SFB-701 at Fakultät für Mathematik, Universität Bielefeld, Germany
MR Author ID: 238161
Email: panin@pdmi.ras.ru, panin@math.uni-bielefeld.de
U. Rehmann
Affiliation: Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany
Email: rehmann@math.uni-bielefeld.de
Received by editor(s): July 30, 2007
Published electronically: August 21, 2008
Additional Notes: This work is a part of the project SFB-701 at Fakultät für Mathematik, Universität Bielefeld. The first author is also supported by the Presidium of RAS Program “Fundamental Research”, an RFBR-grant, and the INTAS-05-1000008-8118 grant