Vol. 1, No. 1, 2019

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Troisième groupe de cohomologie non ramifiée des hypersurfaces de Fano

Jean-Louis Colliot-Thélène

Vol. 1 (2019), No. 1, 47–57
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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Keywords
Fano hypersurfaces, unramified cohomology
Mathematical Subject Classification 2010
Primary: 14F20, 14J45
Milestones
Received: 3 August 2017
Revised: 15 October 2017
Accepted: 4 November 2017
Published: 26 January 2018
Authors
Jean-Louis Colliot-Thélène
CNRS, Université Paris Sud et Paris-Saclay
Mathématiques, Bâtiment 425
91405 Orsay Cédex
France