We compute the unramified cohomology of quadrics of dimension 4 in degree 4 over an arbitrary field of characteristic different from 2. We find that it is related to classical invariants of a more elementary nature, such as the group of spinor norms and the projective special orthogonal group modulo Manin's R-equivalence.
Duke Math. J.
106(3):
449-484
(15 February 2001).
DOI: 10.1215/S0012-7094-01-10632-7
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