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摘要: |
本文主要研究单位球Bn到单位球BN上全纯逆紧映射的问题.对于Bn到BN的全纯逆紧映射映射,当其几何秩为κ0且N=n+(2n-κ0-1)κ0/2时,给出了其正规化映射的一个刻画. |
关键词: 全纯逆紧映射 全纯等价 几何秩 退化秩 |
DOI: |
分类号:O174.56 |
基金项目:The second author is supported in part by National Natural Science Foundation of China (11571260; 11722110 ). |
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CHARACTERIZATION OF A CLASS OF PROPER HOLOMORPHIC MAPS FROM Bn TO BN |
YANG Bi-tao,YIN Wan-ke
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Abstract: |
The paper is concerned with the study of rational proper holomorphic maps from the unit ball Bn to the unit ball BN. When the geometric rank of the maps are κ0 and N = n + (2n-κ0-1)κ0/2, we give a characterization of their normalized maps. |
Key words: proper holomorphic maps holomorphic classification geometric rank degeneracy rank |