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arXiv · 1806.00606

Non rationalit\'e stable sur les corps quelconques

Jean-Louis Colliot-Thélène
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Abstract

This is a survey on (lack of) stable rationality over arbitrary fields (including algebraically closed fields). Topics addressed include: Rationality and unirationality, R-equivalence on rational points, Chow groups of zero-cycles, Galois action on the Picard group, Brauer group, higher unramified cohomology, global differentials, specialisation method (via R-equivalence), geometrically rational surfaces, cubic hypersurfaces.

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Jean-Louis Colliot-Thélène. 2018-06-02. Non rationalit\'e stable sur les corps quelconques. https://arxiv.org/abs/1806.00606

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