Compact Kahler manifolds with quasi-positive second Chern-Ricci curvature

被引：0
|
作者：
Yang, Xiaokui [1 ,2 ]
机构：
[1] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China
[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
来源：
COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2024年 / 32卷 / 10期
基金：
国家重点研发计划;
关键词：
HOLOMORPHIC SECTIONAL CURVATURE; SINGULAR HERMITIAN METRICS; PROJECTIVE-MANIFOLDS; RATIONAL CONNECTEDNESS; LINE BUNDLES; VARIETIES; THEOREM; UNIFORMIZATION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X be a compact Kahler manifold. We prove that if X admits a smooth Hermitian metric omega with quasi-positive second Chern-Ricci curvature Ric((2))(omega), then X is projective and rationally connected. In particular, X is simply connected.
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页码：2717 / 2734
页数：18
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