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26 April 2024
 
  » arxiv » 0902.2193

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Killing Fields of Holomorphic Cartan Geometries
Sorin Dumitrescu ;
Date 12 Feb 2009
AbstractWe study local automorphisms of holomorphic Cartan geometries. This leads to classification results for compact complex manifolds admitting Cartan geometries. We prove that a compact Calabi-Yau manifold bearing a holomorphic Cartan geometry of algebraic type admits a finite unramified cover which is a complex torus.
Source arXiv, 0902.2193
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