Negative holomorphic curvature and positive canonical bundle

Damin Wu Shing-Tung Yau

Algebraic Geometry mathscidoc:1912.43536

Inventiones mathematicae, 204, (2), 595-604, 2016.5
In this note we show that if a projective manifold admits a Khler metric with negative holomorphic sectional curvature then the canonical bundle of the manifold is ample. This confirms a conjecture of the second author.
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@inproceedings{damin2016negative,
  title={Negative holomorphic curvature and positive canonical bundle},
  author={Damin Wu, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203906690469100},
  booktitle={Inventiones mathematicae},
  volume={204},
  number={2},
  pages={595-604},
  year={2016},
}
Damin Wu, and Shing-Tung Yau. Negative holomorphic curvature and positive canonical bundle. 2016. Vol. 204. In Inventiones mathematicae. pp.595-604. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203906690469100.
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