Geodesic
On a conjecture of Izhboldin on similarity of quadratic forms
Documenta mathematica, Tome 4 (1999), pp. 61-64
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In his paper 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 Ik+3. We relate this conjecture to another conjecture on the dimensions of anisotropic forms in Ik+3. As a consequence, we obtain that Izhboldin's conjecture is true for k≤1.
DOI : 10.4171/dm/53
Classification : 11E04, 11E81
Mots-clés : 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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Detlev W. Hoffmann. On a conjecture of Izhboldin on similarity of quadratic forms. Documenta mathematica, Tome 4 (1999), pp. 61-64. doi: 10.4171/dm/53

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