Killing Fields of Holomorphic Cartan Geometries
Differential Geometry
2009-03-10 v2 Algebraic Geometry
Abstract
We 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.
Cite
@article{arxiv.0902.2193,
title = {Killing Fields of Holomorphic Cartan Geometries},
author = {Sorin Dumitrescu},
journal= {arXiv preprint arXiv:0902.2193},
year = {2009}
}
Comments
10 pages; the main result was improved; corrected typos