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arXiv · 1005.1472

Holomorphic Cartan geometries and rational curves

Indranil Biswas·Benjamin McKay
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Abstract

We prove that any compact K\"ahler 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 K\"ahler manifold.

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Indranil Biswas, Benjamin McKay. 2010-05-10. Holomorphic Cartan geometries and rational curves. https://arxiv.org/abs/1005.1472

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