Sur la cohomologie non ramifiée en degré trois d'un produit

Translated title of the contribution: On the unramified cohomology in degree three of a product

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Abstract

(On the unramified cohomology in degree three of a product) Let F be a finite field and let C be a smooth projective curve over F. We establish that the third unramified cohomology of the product X × C vanishes for some smooth projective surfaces X over F. This applies in particular to geometrically rational surfaces.

Original languageFrench
Pages (from-to)53-75
Number of pages23
JournalBulletin de la Societe Mathematique de France
Volume144
Issue number1
DOIs
StatePublished - Jan 1 2016

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ASJC Scopus subject areas

  • Mathematics(all)

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