QUASI-NEGATIVE HOLOMORPHIC SECTIONAL CURVATURE AND POSITIVITY OF THE CANONICAL BUNDLE

被引：30

作者：

Diverio, Simone ^{[1
]}

Trapani, Stefano ^{[2
]}

机构：

[1] Sapienza Univ Rome, Ist Guido Castelnuovo, Piazzale Aldo Moro 5, I-00185 Rome, Italy

[2] Univ Roma Tor Vergata, Via Ric Sci 1, I-00133 Rome, Italy

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2019年 / 111卷 / 02期

关键词：

Holomorphic sectional curvature; Monge-Ampere equation; canonical bundle;

D O I：

10.4310/jdg/1549422103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if a compact complex manifold admits a Kahler metric whose holomorphic sectional curvature is everywhere non-positive and strictly negative in at least one point, then its canonical bundle is positive. This answers in the affirmative to a question first asked by S.-T. Yau.

引用

页码：303 / 314

页数：12

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