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Holomorphic Cartan geometries and rational curves
oleh: Biswas Indranil, McKay Benjamin
Format: | Article |
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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.