On a Conjecture of Izhboldin on Similarity of Quadratic Forms
نویسندگان
چکیده
In his paper Motivic equivalence of quadratic forms , Izhboldin modi es 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 P ster 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 1. 1991 Mathematics Subject Classi cation: Primary 11E81; Secondary 11E04.
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تاریخ انتشار 2014