Abstract
Given a quadric X over a field F of characteristic ≠ 2, we compute the kernel and cokernel of the natural map in degree 4 from the mod 2 Galois cohomology of F to the unramified mod 2 cohomology of F ( X ), when dim X > 10 and in several smaller-dimensional cases. Applications of these results to real quadrics and to the unramified Witt ring are given.
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