Fields of u - invariant 2 r + 1 A . Vishik
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چکیده
In this article we provide the uniform construction of fields with all known u-invariants. We also obtain the new values for the u-invariant: 2 r + 1, for r > 3. The main tools here are the new discrete invariant of quadrics (so-called, elementary discrete invariant), and the methods of [15] (which permit to reduce the questions of rationality of elements of the Chow ring over the base field to that over bigger field-the generic point of a quadric).
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