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The third unramified cohomology group is shown to vanish on certain varieties equipped with a pencil of quadrics or of smooth complete intersections of two quadrics. Over the complex field, this shows that the integral Hodge conjecture in degree 4 holds for such varieties. MSC-class : 14C35; 14E08, 14F99

Quelques cas d’annulation du troisième groupe de cohomologie non ramifiée