Negative holomorphic curvature and positive canonical bundle

• 成果类型: Article
• 署名作者: Wu, Damin; Yau, Shing-Tung
• 署名单位: University of Connecticut; Harvard University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-015-0621-9
• 发表日期: 2016
• 页码: 595-604
• 关键词: schwarz lemma; kahler

摘要

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.