Holomorphic Cartan geometries and rational curves
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 C...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2016-03-01
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| Series: | Complex Manifolds |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/coma.2016.3.issue-1/coma-2016-0004/coma-2016-0004.xml?format=INT |