A variant of a theorem by Springer
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- by I. Panin and U. Rehmann
- St. Petersburg Math. J. 19 (2008), 953-959
- DOI: https://doi.org/10.1090/S1061-0022-08-01029-7
- Published electronically: August 21, 2008
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Abstract:
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
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
- © Copyright 2008 American Mathematical Society
- Journal: St. Petersburg Math. J. 19 (2008), 953-959
- MSC (2000): Primary 53A04; Secondary 52A40, 52A10
- DOI: https://doi.org/10.1090/S1061-0022-08-01029-7
- MathSciNet review: 2411641
Dedicated: To the memory of D. K. Faddeev