Birational geometry and Hodge theory / Géométrie birationnelle et théorie de Hodge

Collection Birational geometry and Hodge theory / Géométrie birationnelle et théorie de Hodge

Organizer(s) Claudon, Benoît ; Höring, Andreas ; Rousseau, Erwan ; Taji, Behrouz

Date(s) 11/02/2019 - 15/02/2019

linked URL https://conferences.cirm-math.fr/2101.html

00:00:00 / 00:00:00

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Stably irrational hypersurfaces of small slopes

By Stefan Schreieder

We show that over any uncountable field of characteristic different from two, a very general hypersurface of dimension $n > 2$ and degree at least $log_2 (n) + 2$ is not stably rational. This significantly improves earlier results of Kollár and Totaro. As a byproduct of our proof, we obtain new counterexamples to the integral Hodge conjecture, answering a question of Voisin and Colliot-Thélène – Voisin.

Information about the video

Date of recording 14/02/2019
Date of publication 21/02/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19494303
Cite this video Schreieder, Stefan (14/02/2019). Stably irrational hypersurfaces of small slopes. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19494303
URL https://dx.doi.org/10.24350/CIRM.V.19494303

Domain(s)

Bibliography

Schreieder, S. (2018). Stably irrational hypersurfaces of small slopes. <arXiv:1801.05397> - https://arxiv.org/abs/1801.05397

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