We continue our investigation of the unramified cohomology of smooth projective quadrics started in part I. Here we concentrate on quadrics X of dimension 2,3 and 4, and obtain detailed results. In particular, if X is defined by a "virtual Albert form" q, we relate the degree 4 unramified cohomology of X to the group PSO(q)/R, where R denotes Manin's R-equivalence.

Quadrics of dimension > 4 are studied in the forthcoming part III of this series.

- 0338.bib (236 bytes)
- hcoh2corr.dvi (121892 bytes) [March 15, 1999]
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- hcoh2corr.pdf (233014 bytes)
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B. Kahn <kahn@math.jussieu.fr>

R. Sujatha <sujatha@math.tifr.res.in>