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Holomorphic Parabolic Geometries and Calabi-Yau Manifolds

We prove that the only complex parabolic geometries on Calabi-Yau manifolds are the homogeneous geometries on complex tori. We also classify the complex parabolic geometries on homogeneous compact Kähler manifolds.

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Detalles Bibliográficos
Autor Principal: Benjamin McKay
Formato: Artigo
Idioma:Inglês
Publicado: National Academy of Science of Ukraine 2011-09-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Assuntos:
Acceso en liña:http://dx.doi.org/10.3842/SIGMA.2011.090
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