Classification of Proper Holomorphic Mappings Between Generalized Pseudoellipsoids of Different Dimensions
Classification of Proper Holomorphic Mappings Between Generalized Pseudoellipsoids of Different Dimensions
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DOI：
10.1007/978-4-431-55744-9_10
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发表时间：
2020-03
影响因子：
0.9
通讯作者：
Atsushi Hayashimoto
中科院分区：
文献类型：
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作者：
Atsushi Hayashimoto
我们对不同维度的广义伪椭球之间的正确全纯映射进行分类。这些域由指数参数化。也得到了它们之间的关系。主要工具是 CR 束的正交分解。这种分解导出了映射的“变量分割”。
We classify proper holomorphic mappings between generalized pseudoellipsoids of different dimensions. Those domains are parametrized by the exponents. The relations among them are also obtained. Main tool is the orthogonal decomposition of a CR bundle. Such a decomposition derives the ‘variable-splitting’of the mapping.