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A remark on our paper" Negative Holomorphic curvature and positive canonical bundle"

Damin Wu Shing-Tung Yau

Differential Geometry mathscidoc:1912.43569

arXiv preprint arXiv:1609.01377, 2016.9
This is a continuation of our first paper in [WY16]. There are two purposes of this paper: One is to give a proof of the main result in [WY16] without going through the argument depending on numerical effectiveness. The other one is to provide a proof of our conjecture, mentioned in [TY], where the assumption of negative holomorphic sectional curvature is dropped to quasi-negative. We should note that a solution to our conjecture is also provided by Diverio-Trapani [DT]. Both proofs depend on our argument in [WY16]. But our argument here makes use of the argument given by the second author and Cheng in [CY75].
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@inproceedings{damin2016a,
  title={A remark on our paper" Negative Holomorphic curvature and positive canonical bundle"},
  author={Damin Wu, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204113963040133},
  booktitle={arXiv preprint arXiv:1609.01377},
  year={2016},
}
Damin Wu, and Shing-Tung Yau. A remark on our paper" Negative Holomorphic curvature and positive canonical bundle". 2016. In arXiv preprint arXiv:1609.01377. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204113963040133.
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