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On the U-Invariant of P-Adic Function Fields
ABSTRACT
We show that a quadratic form defined over the rational function field 
(x 1 , …, x n ) of dimension at least 4.2 n + 1 is isotropic over all fields p (x 1 , …, x n ), except for finitely many primes. Partial results concerning the u-invariant of p-adic function fields are also shown.
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- Available online: 03 Sep 2006
Author affiliations
- a Equipe de Logique Mathématique, UFR de Mathématiques, Université Denis-Diderot, Paris, France
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