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arXiv · 1110.1389

Quelques cas d'annulation du troisième groupe de cohomologie non ramifiée

Jean-Louis Colliot-Thélène
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Abstract

The third unramified cohomology group is shown to vanish on certain varieties equipped with a pencil of quadrics or of smooth complete intersections of two quadrics. Over the complex field, this shows that the integral Hodge conjecture in degree 4 holds for such varieties. --- On établit la nullité du troisième groupe de cohomologie non ramifiée pour certaines variétés munies d'un pinceau de quadriques ou d'intersections complètes lisses de deux quadriques. Sur les complexes, ceci permet d'établir la conjecture de Hodge entière en degré 4 pour de telles variétés.

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Jean-Louis Colliot-Thélène. 2011-10-06. Quelques cas d'annulation du troisième groupe de cohomologie non ramifiée. https://arxiv.org/abs/1110.1389

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