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Isotropy of quadratic forms over the function field of a quadric

✍ Scribed by Detlev W. Hoffmann


Book ID
110559943
Publisher
Springer-Verlag
Year
1995
Tongue
French
Weight
903 KB
Volume
220
Category
Article
ISSN
0025-5874

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Let F be a field of characteristic different from 2 and let Ο† be an anisotropic six-dimensional quadratic form over F. We study the last open cases in the problem of describing the quadratic forms ψ such that Ο† becomes isotropic over the function field F ψ .

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## Abstract Let __F__ be a field of characteristic different from 2 and let Ο• be a virtual Albert form over __F__, i.e., an anisotropic 6‐dimensional quadratic form over __F__ which is still anisotropic over the field \documentclass{article}\pagestyle{empty}\begin{document}$F\left({\sqrt {d \pm \va