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arXiv · 1506.01145

An extension of a theorem of Wu-Yau

Valentino Tosatti·Xiaokui Yang
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Abstract

We show that a compact Kahler 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.

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Valentino Tosatti, Xiaokui Yang. 2015-06-03. An extension of a theorem of Wu-Yau. https://doi.org/10.4310/jdg%2F1508551226

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