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On the Lüroth problem for real varieties
Post-edited
Authors : Benoist, Olivier (Author of the conference)
CIRM (Publisher )
14M20 - Rational and unirational varieties
14E08 - Rationality questions
CIRM (Publisher )
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| Lüroth problem intermediate Jacobians quadratic twist conic bundles real algebraic geometry real conic bundles unramified cohomology |
Abstract :
The Lüroth problem asks whether every unirational variety is rational. Over the complex numbers, it has a positive answer for curves and surfaces, but fails in higher dimensions. In this talk, I will consider the Lüroth problem for real algebraic varieties that are geometrically rational, and explain a counterexample not accounted for by the topology of the real locus or by unramified cohomology. This is joint work with Olivier Wittenberg.
MSC Codes : 14M20 - Rational and unirational varieties
14E08 - Rationality questions
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 21/02/2019 Conference Date : 11/02/2019 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:00:56 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-02-11_Benoist.mp4 
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Information on the Event
Event Title : Birational geometry and Hodge theory / Géométrie birationnelle et théorie de HodgeEvent Organizers : Claudon, Benoît ; Höring, Andreas ; Rousseau, Erwan ; Taji, Behrouz Dates : 11/02/2019 - 15/02/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2101.html
Citation Data
DOI : 10.24350/CIRM.V.19493603Cite this video as: Benoist, Olivier (2019). On the Lüroth problem for real varieties. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19493603 URI : http://dx.doi.org/10.24350/CIRM.V.19493603 |
See Also
- [Multi angle] Stably irrational hypersurfaces of small slopes / Author of the conference Schreieder, Stefan.
- [Multi angle] On the B-Semiampleness Conjecture / Author of the conference Floris, Enrica.
- [Multi angle] Arithmetic of rank one local systems / Author of the conference Esnault, Hélène.
- [Multi angle] Absolute sets and the Decomposition Theorem / Author of the conference Budur, Nero.
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