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Motivic equivalence of quadratic forms

Motivic equivalence of quadratic forms

Let X_\phi and X_\psi be projective quadrics corresponding to quadratic forms \phi and \psi over a field F . If X_\phi is isomorphic to X_\psi in the category of Chow motives, we say that \phi and \psi are motivic isomorphic and write \phi\stackrel{m}\sim\psi . We show that in the case …