Geodesic
On a conjecture of Izhboldin on similarity of quadratic forms
Documenta mathematica, Tome 4 (1999), pp. 61-64.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In his paper $\it $Motivic equivalence of quadratic forms, Izhboldin modifies a conjecture of Lam and asks whether two quadratic forms, each of which isomorphic to the product of an Albert form and a $k$-fold Pfister form, are similar provided they are equivalent modulo $I^{k+3}$. We relate this conjecture to another conjecture on the dimensions of anisotropic forms in $I^{k+3}$. As a consequence, we obtain that Izhboldin's conjecture is true for $k\leq 1$.
Classification : 11E81, 11E04
Keywords: quadratic form, Pfister form, Albert form, similarity of quadratic forms 
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     title = {On a conjecture of {Izhboldin} on similarity of quadratic forms},
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Hoffmann, Detlev W. On a conjecture of Izhboldin on similarity of quadratic forms. Documenta mathematica, Tome 4 (1999), pp. 61-64. http://geodesic.mathdoc.fr/item/DOCMA_1999__4__a18/