Holomorphic Cartan geometries and rational curves

oleh: Biswas Indranil, McKay Benjamin

Format: Article
Diterbitkan: De Gruyter 2016-03-01

Deskripsi

We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold. This shows that many complex manifolds admit no or few holomorphic Cartan geometries.