Jean Morlet Chair - Real algebraic geometry and Birational geometry / Chaire Jean Morlet - Géométrie Algébrique Réelle et Géométrie Birationnelle

Collection Jean Morlet Chair - Real algebraic geometry and Birational geometry / Chaire Jean Morlet - Géométrie Algébrique Réelle et Géométrie Birationnelle

Organizer(s) Bouchareb, Naoufal ; Cheltsov, Ivan ; Heuberger, Liana ; Itenberg, Ilia ; Mangolte, Frédéric ; Rond, Guillaume

Date(s) 02/06/2025 - 06/06/2025

linked URL https://conferences.cirm-math.fr/3168.html

00:00:00 / 00:00:00

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Rationality of some real conic bundle threefolds

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.

Information about the video

Date of recording 05/06/2025
Date of publication 20/06/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20357103
Cite this video Ji, Lena (05/06/2025). Rationality of some real conic bundle threefolds. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20357103
URL https://dx.doi.org/10.24350/CIRM.V.20357103

Domain(s)

Algebraic Geometry

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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