杨晓奎MCM of Chinese Academy of ScienceValentino TosattiNorthwestern University
Differential Geometrymathscidoc:1608.10048
J. Differential Geom.
We show that a compact Kaehler manifold with nonpositive holomorphic sectional curvature has nef canonical bundle. If the holomorphic sectional curvature is negative then it follows that the canonical bundle is ample, confirming a conjecture of Yau. The key ingredient is the recent solution of this conjecture in the projective case by Wu-Yau.
@inproceedings{杨晓奎an,
title={An extension of a theorem of Wu-Yau},
author={杨晓奎, and Valentino Tosatti},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160821141505676206359},
booktitle={J. Differential Geom.},
}
杨晓奎, and Valentino Tosatti. An extension of a theorem of Wu-Yau. In J. Differential Geom.. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160821141505676206359.