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Rationality of some real conic bundle threefolds
Multi angle
Authors : Ji, Lena (Author of the conference)
CIRM (Publisher )
14C25 - Algebraic cycles
14P99 - None of the above but in this section
14E08 - Rationality questions
CIRM (Publisher )
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Abstract :
An algebraic variety is said to be rational if it is birational to projective space. In this talk, westudy the rationality question over the real numbers for a certain class of conic bundle threefolds.The varieties we consider all become rational over the complex numbers, but in general the complex rationality construction need not descend to $ \mathbb{R}$. We discuss rationality obstructions coming from intermediate Jacobian torsors and from the real loci of these varieties.
Keywords : conic bundle; rationality; real varieties; intermediate Jacobians
MSC Codes : Keywords : conic bundle; rationality; real varieties; intermediate Jacobians
14C25 - Algebraic cycles
14P99 - None of the above but in this section
14E08 - Rationality questions
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 20/06/2025 Conference Date : 05/06/2025 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:52:03 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-06-05_Ji.mp4 
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Information on the Event
Event Title : Jean Morlet Chair - Real algebraic geometry and Birational geometry / Chaire Jean Morlet - Géométrie Algébrique Réelle et Géométrie BirationnelleEvent Organizers : Bouchareb, Naoufal ; Cheltsov, Ivan ; Heuberger, Liana ; Itenberg, Ilia ; Mangolte, Frédéric ; Rond, Guillaume Dates : 02/06/2025 - 06/06/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3168.html
Citation Data
DOI : 10.24350/CIRM.V.20357103Cite this video as: Ji, Lena (2025). Rationality of some real conic bundle threefolds. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20357103 URI : http://dx.doi.org/10.24350/CIRM.V.20357103 |
See Also
- [Multi angle] A family of Fano manifolds obtained as linear sections of the spinor tenfold / Author of the conference Manivel, Laurent.
- [Multi angle] Explicit K-moduli spaces of Fano 3-folds / Author of the conference Kaloghiros, Anne-Sophie.
- [Multi angle] Real plane sextic curves without real singular points / Author of the conference Itenberg, Ilia.
- [Multi angle] Projectivity criteria for Kähler morphisms / Author of the conference Höring, Andreas.
Bibliography
- FREI, Sarah, JI, Lena, SANKAR, Soumya, et al. Curve classes on conic bundle threefolds and applications to rationality. Algebraic Geometry, 2024, vol. 11, no 3, p. 421-459. - https://doi.org/10.14231/AG-2024-014
- JI, Lena et JI, Mattie. Rationality of real conic bundles with quartic discriminant curve. International Mathematics Research Notices, 2024, vol. 2024, no 1, p. 115-151. - https://doi.org/10.1093/imrn/rnad003
- FREI, Sarah, JI, Lena, SANKAR, Soumya, et al. Conic bundle threefolds differing by a constant Brauer class and connections to rationality. arXiv preprint arXiv:2406.13510, 2024. - https://doi.org/10.48550/arXiv.2406.13510
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