Regular foliations on rationally connected manifolds | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Regular foliations on rationally connected manifolds

By João Paulo Figueredo

Appears in collection : Jean-Morlet Chair 2020 - Research School: Geometry and Dynamics of Foliations / Chaire Jean-Morlet 2020 - Ecole : Géométrie et dynamiques des feuilletages

In this talk, we will consider the problem of classifying regular foliations on rationally connected manifolds over the complex numbers. Conjecturally, these foliations should have algebraic leaves. I will show this is true when the manifold has dimension three, and the foliation has codimension one and non pseudo-effective canonical bundle.

Information about the video

Date of recording 26/05/2020
Date of publication 04/06/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19639003
Cite this video Figueredo, João Paulo (26/05/2020). Regular foliations on rationally connected manifolds. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19639003
URL https://dx.doi.org/10.24350/CIRM.V.19639003

Domain(s)

Algebraic Geometry

Bibliography

BRUNELLA, Marco. Feuilletages holomorphes sur les surfaces complexes compactes. In : Annales Scientifiques de l’Ecole Normale Superieure. No longer published by Elsevier, 1997. p. 569-594. - https://doi.org/10.1016/S0012-9593(97)89932-6
CASCINI, Paolo et SPICER, Calum. MMP for co-rank one foliation on threefolds. arXiv preprint arXiv:1808.02711, 2018. - https://arxiv.org/abs/1808.02711
DRUEL, Stéphane. Regular foliations on weak Fano manifolds. In : Annales de la Faculté des sciences de Toulouse: Mathématiques. 2017. p. 207-217. - https://afst.centre-mersenne.org/article/AFST_2017_6_26_1_207_0.pdf
MORI, Shigefumi . (1982). Threefolds Whose Canonical Bundles Are Not Numerically Effective. Annals of Mathematics, 116(1), second series, 133-176. - http://dx.doi.org/10.2307/2007050
SPICER, Calum. Higher-dimensional foliated Mori theory. Compositio Mathematica, 2020, vol. 156, no 1, p. 1-38. - https://doi.org/10.1112/S0010437X19007681
SPICER, Calum et SVALDI, Roberto. Local and global applications of the Minimal Model Program for co-rank one foliations on threefolds. arXiv preprint arXiv:1908.05037, 2019. - https://arxiv.org/abs/1908.05037

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2025

Give feedback