A remark on our paper "Negative Holomorphic curvature and positive canonical bundle"
By Damin Wu, Shing-Tung Yau. 2016
66 citations recorded by the source corpus.
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].
Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/822f08d7337a218529cefea2894e55c95239eabc
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In Applied Mathematics
In Astronomy and Astrophysics
In Geometry and Topology
Citations in the corpus
- RC-positivity, rational connectedness and Yau's conjecture (2017, background): “In [47], Wu and Yau give a direct proof of the statement that any compact Kähler manifold with quasi-negative holomorphic sectional curvature must have ample canonical line bundle.”