A remark on our paper "Negative Holomorphic curvature and positive canonical bundle"
Differential Geometry
2016-09-07 v1
Abstract
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].
Keywords
Cite
@article{arxiv.1609.01377,
title = {A remark on our paper "Negative Holomorphic curvature and positive canonical bundle"},
author = {Damin Wu and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1609.01377},
year = {2016}
}