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

被引：0
|
作者：
Huang, Jiaxing [1 ]
Ng, Tuen Wai [2 ]
机构：
[1] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
[2] Univ Hong Kong, Dept Math, Pokfulam, Hong Kong, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2022年 / 42卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Second Main Theorem; meromorphic connection; totally geodesic hypersurfaces; uniqueness theorem; 2ND MAIN THEOREM; MEROMORPHIC MAPPINGS; CURVES; MAPS;
D O I：
10.1007/s10473-022-0420-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 DOUBLE-STRUCK CAPITAL P-k. This is a generalization of Cartan's Second Main Theorem. As a consequence, we establish a uniqueness theorem for holomorphic mappings which intersect O(k(3)) many totally geodesic hypersurfaces.
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页码：1631 / 1644
页数：14
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