几何与拓扑讨论班:欧文浩 A characterization of uniruled Kaehler manifolds

 



  • Date: Monday, March 3


  • Venue: 海纳苑2幢204室 Room 204, Hai Na Yuan #2, Zijinggang Campus


  • Speaker: Wenhao Ou 欧文浩 (中科院数学所)



  • Pretalk: Rational curves in complex manifolds

  • Time: 16:15-16:45

  • Abstract: We review some classical results in birational geometry, particularly on rational curves in complex manifolds.


  • Research talk: A characterization of uniruled Kaehler manifolds

  • Time: 16:45-17:35

  • Abstract: We adapt Bost's algebraicity characterization to the situation of a germ in a compact Kaehler manifold. As a consequence, we extend the algebraic integrability criteria of Campana-Paun and of Druel to foliations on compact Kaehler manifolds. As an application, we prove that a compact Kaehler manifold is uniruled if and only if its canonical line bundle is not pseudoeffective.