A Uniqueness Theorem for Holomorphic Mappings in the Disk Sharing Totally Geodesic Hypersurfaces

被引：0
|
作者：
Jiaxing Huang
Tuen Wai Ng
机构：
[1] Shenzhen University,College of Mathematics and Statistics
[2] The University of Hong Kong,Department of Mathematics
来源：
Acta Mathematica Scientia | 2022年 / 42卷
关键词：
Second Main Theorem; meromorphic connection; totally geodesic hypersurfaces; uniqueness theorem; 32H30; 32A22; 30D35;
D O I：
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学科分类号：
摘要：
In this paper, we prove a Second Main Theorem for holomorphic mappings in a disk whose image intersects some families of nonlinear hypersurfaces (totally geodesic hypersurfaces with respect to a meromorphic connection) in the complex projective space ℙk. This is a generalization of Cartan’s Second Main Theorem. As a consequence, we establish a uniqueness theorem for holomorphic mappings which intersect O(k3) many totally geodesic hypersurfaces.
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页码：1631 / 1644
页数：13
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