An extension of a theorem of Wu-Yau

杨晓奎 MCM of Chinese Academy of Science Valentino Tosatti Northwestern University

Differential Geometry mathscidoc: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.
holomorphic sectional curvature, canonical bundle, nef, ample
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@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.
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