Negative holomorphic curvature and positive canonical bundle

作者：Wu Damin^*; Yau Shing Tung

来源：Inventiones Mathematicae, 2016, 204(2): 595-604.

DOI：10.1007/s00222-015-0621-9

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

• 出版日期2016-5