Holomorphic Cartan geometries, Calabi-Yau manifolds and rational curves

DOI10.1016/j.difgeo.2009.09.003zbMath1187.53028arXiv1009.5801OpenAlexW2026940729WikidataQ115357188 ScholiaQ115357188MaRDI QIDQ846381

Benjamin McKay, Indranil Biswas

Publication date: 9 February 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5801

zbMATH Keywords

Calabi-Yau manifoldBogomolov inequalityCartan geometrysemistable sheavesrationally connected

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Calabi-Yau theory (complex-analytic aspects) (32Q25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (9)

Holomorphic Cartan geometries and rational curves ⋮ The Hartogs extension problem for holomorphic parabolic and reductive geometries ⋮ Geometric structures modeled on smooth projective horospherical varieties of Picard number one ⋮ Rigid geometry on projective varieties ⋮ Holomorphic projective connections on compact complex threefolds ⋮ Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold ⋮ Generalized holomorphic Cartan geometries ⋮ Holomorphic geometric structures on Kähler-Einstein manifolds ⋮ Logarithmic Cartan geometry on complex manifolds

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• Vector bundles with holomorphic connection over a projective manifold with tangent bundle of nonnegative degree
• Fundamental groups of rationally connected varieties.
• Killing fields of holomorphic Cartan geometries

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