Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle
Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle
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DOI：
10.4310/jdg/1549422103
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发表时间：
2016-06
影响因子：
2.5
通讯作者：
Simone Diverio;S. Trapani
中科院分区：
文献类型：
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作者：
Simone Diverio;S. Trapani
证明了：如果紧致复流形上存在一个K ahler度量，且该度量的全纯截面曲率处处非正且在至少一点上严格为负，则它的标准丛是正的.
We show that if a compact complex manifold admits a K\"ahler metric whose holomorphic sectional curvature is everywhere non positive and strictly negative in at least one point, then its canonical bundle is positive.