Negative Holomorphic curvature and positive canonical bundle
classification
🧮 math.DG
math.AG
keywords
bundlecanonicalcurvatureholomorphicmanifoldnegativeadmitsahler
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In this note we show that if a projective manifold admits a K\"ahler 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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