A classification of proper holomorphic mappings between generalized pseudoellipsoids of different dimensions
A classification of proper holomorphic mappings between generalized pseudoellipsoids of different dimensions
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DOI：
10.1080/17476933.2019.1622531
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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
本文对不同维数广义伪椭球之间的真全纯映射进行了分类。这些域由指数参数化。并得到了它们之间的关系。主要工具是CR丛的正交分解。这样的分解导出映射的“变量分裂”。
ABSTRACT 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.