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