Abstract

Sur un corps algébriquement clos et sur un corps fini, on établit de nouveaux résultats d’annulation pour la cohomologie non ramifiée de degré 3 des hypersurfaces de Fano.

We establish the vanishing of degree three unramified cohomology for several new types of Fano hypersurfaces when the ground field is either finite or algebraically closed of arbitrary characteristic.

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Mathematical Subject Classification 2010

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