Open Access
2019 Troisième groupe de cohomologie non ramifiée des hypersurfaces de Fano
Jean-Louis Colliot-Thélène
Tunisian J. Math. 1(1): 47-57 (2019). DOI: 10.2140/tunis.2019.1.47

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.

Citation

Download Citation

Jean-Louis Colliot-Thélène. "Troisième groupe de cohomologie non ramifiée des hypersurfaces de Fano." Tunisian J. Math. 1 (1) 47 - 57, 2019. https://doi.org/10.2140/tunis.2019.1.47

Information

Received: 3 August 2017; Revised: 15 October 2017; Accepted: 4 November 2017; Published: 2019
First available in Project Euclid: 2 March 2019

zbMATH: 07027516
MathSciNet: MR3907733
Digital Object Identifier: 10.2140/tunis.2019.1.47

Subjects:
Primary: 14F20 , 14J45

Keywords: Fano hypersurfaces , unramified cohomology

Rights: Copyright © 2019 Mathematical Sciences Publishers

Vol.1 • No. 1 • 2019
MSP
Back to Top