Holomorphic Cartan geometries and Calabi-Yau manifolds

Indranil Biswas; Benjamin McKay

doi:10.1016/j.geomphys.2009.12.011

Holomorphic Cartan geometries and Calabi-Yau manifolds

Indranil Biswas
, Benjamin McKay

School of Mathematical Sciences

Tata Institute of Fundamental Research

Research output: Contribution to journal › Article › peer-review

Abstract

Let M be a connected complex projective manifold such that c₁ (T^{(1, 0)} M) = 0. If M admits a holomorphic Cartan geometry, then we show that M is holomorphically covered by an abelian variety.

Original language	English
Pages (from-to)	661-663
Number of pages	3
Journal	Journal of Geometry and Physics
Volume	60
Issue number	4
DOIs	https://doi.org/10.1016/j.geomphys.2009.12.011
Publication status	Published - Apr 2010

Keywords

Calabi-Yau manifold
Cartan geometry
Connection

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10.1016/j.geomphys.2009.12.011

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title = "Holomorphic Cartan geometries and Calabi-Yau manifolds",

abstract = "Let M be a connected complex projective manifold such that c1 (T(1, 0) M) = 0. If M admits a holomorphic Cartan geometry, then we show that M is holomorphically covered by an abelian variety.",

keywords = "Calabi-Yau manifold, Cartan geometry, Connection",

author = "Indranil Biswas and Benjamin McKay",

year = "2010",

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doi = "10.1016/j.geomphys.2009.12.011",

language = "English",

volume = "60",

pages = "661--663",

journal = "Journal of Geometry and Physics",

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T1 - Holomorphic Cartan geometries and Calabi-Yau manifolds

AU - Biswas, Indranil

AU - McKay, Benjamin

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N2 - Let M be a connected complex projective manifold such that c1 (T(1, 0) M) = 0. If M admits a holomorphic Cartan geometry, then we show that M is holomorphically covered by an abelian variety.

AB - Let M be a connected complex projective manifold such that c1 (T(1, 0) M) = 0. If M admits a holomorphic Cartan geometry, then we show that M is holomorphically covered by an abelian variety.

KW - Calabi-Yau manifold

KW - Cartan geometry

KW - Connection

UR - https://www.scopus.com/pages/publications/77349089488

U2 - 10.1016/j.geomphys.2009.12.011

DO - 10.1016/j.geomphys.2009.12.011

M3 - Article

AN - SCOPUS:77349089488

SN - 0393-0440

VL - 60

SP - 661

EP - 663

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 4

ER -

Holomorphic Cartan geometries and Calabi-Yau manifolds

Abstract

Keywords

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