Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleNegative holomorphic curvature and positive canonical bundle.AuthorsWu, Damin; Yau, Shing-TungAbstractIn 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.SubjectsMANIFOLDS (Mathematics); HOLOMORPHIC functions; CURVATURE; HYPERBOLIC geometry; HYPERBOLIC paraboloid structures; MATHEMATICAL modelsPublicationInventiones Mathematicae, 2016, Vol 204, Issue 2, p595ISSN0020-9910Publication typeArticleDOI10.1007/s00222-015-0621-9