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arXiv · 1505.05802

Negative Holomorphic curvature and positive canonical bundle

Damin Wu·Shing-Tung Yau
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Abstract

In this note we show that if a projective manifold admits a Kähler metric with negative holomorphic sectional curvature then the canonical bundle of the manifold is ample. This confirms a conjecture of the second author.

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Damin Wu, Shing-Tung Yau. 2015-05-21. Negative Holomorphic curvature and positive canonical bundle. https://doi.org/10.1007/s00222-015-0621-9

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