A variant of a theorem by Springer
Algebra i analiz, Tome 19 (2007) no. 6, pp. 117-125
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The theorem in question gives a sufficient condition for a quadratic space over a local ring $R$ to contain a hyperbolic plane over $R$.
Keywords:
Quadratic forms, Springer's theorem
Mots-clés : local domain.
Mots-clés : local domain.
@article{AA_2007_19_6_a4,
author = {I. Panin and U. Rehmann},
title = {A~variant of a~theorem by {Springer}},
journal = {Algebra i analiz},
pages = {117--125},
year = {2007},
volume = {19},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AA_2007_19_6_a4/}
}
I. Panin; U. Rehmann. A variant of a theorem by Springer. Algebra i analiz, Tome 19 (2007) no. 6, pp. 117-125. http://geodesic.mathdoc.fr/item/AA_2007_19_6_a4/
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[2] Panin I., Rationally isotropic quadratic spaces are locally isotropic, http://www.math.uiuc.edu/K-theory/0671/