Several injectivity theorems on compact Kähler manifolds

被引:0
作者
Chunle Huang
机构
[1] Hunan University,Institute of Mathematics
来源
Geometriae Dedicata | 2020年 / 208卷
关键词
Injectivity theorem; Compact Kähler manifolds; Bochner technique; Hodge theory; 32L10; 32Q15;
D O I
暂无
中图分类号
学科分类号
摘要
In this short note, we use the Bochner technique and the Hodge theory in complex differential geometry to prove several injectivity results for the cohomology of holomorphic vector bundles on compact Kähler manifolds, which generalize Enoki’s original injectivity theorem.
引用
收藏
页码:89 / 95
页数:6
相关论文
共 6 条
  • [1] Ambro F(2014)An injectivity theorem Compos. Math. 150 999-1023
  • [2] Demailly JP(1982)Estimations Ann. Sci. l’Ecole Norm. Suprieure 15 457-511
  • [3] Fujino O(2012) pour l’oprateur Osaka J. Math. 49 833-852
  • [4] Huang C(2018) d’un fibr vectoriel holomorphe semi-positif au-dessus d’une varit kählrienne complte Sci. China Math. 61 1089-42
  • [5] Kollár J(1986)A transcendental approach to Koll’s injectivity theorem Ann. Math. (2) 123 11-202
  • [6] Kollár J(1986)Injectivity theorems on compact complex manifolds Ann. Math. (2) 124 171-undefined