Foliations on compact Kaehler manifolds

Algebraic Geometry Seminar

Organizers：

Caucher Birkar，Jia Jia 贾甲

Speaker：

Wenhao Ou 欧文浩

Chinese Academy of Science

Time：

Fri., 15:30-16:30, Sept. 12, 2025

Venue：

B725, Shuangqing Complex Building A

Online：

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

We show that if the dual of a foliation on a compact Kaehler manifold is non pseudoeffective, then the foliation is induced by a meromorphic map. This extends the results of Campana-Paun and of Druel, which were proved for projective varieties. As an application, we can show that a compact Kaehler manifold is uniruled if and only if its canonical line bundle is not pseudoeffective.