Complexity of holomorphic maps from the complex unit ball to classical domains
Complexity of holomorphic maps from the complex unit ball to classical domains
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DOI：
10.4310/ajm.2018.v22.n4.a7
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发表时间：
2016-09
期刊：
影响因子：
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通讯作者：
Ming Xiao;Yuan Yuan-Yuan
中科院分区：
文献类型：
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作者：
Ming Xiao;Yuan Yuan-Yuan
我们研究全纯等距的复杂性以及从复杂单位球到 IV 型经典域的正确映射。我们研究了具有最小目标维度的全纯等距和全纯映射的度估计。我们还构建了从单位球到 IV 型域的互不等价全纯等距的实参数族。我们还提供了从复杂单位球到经典域的非等距真全纯映射的示例。
We study the complexity of holomorphic isometries and proper maps from the complex unit ball to type IV classical domains. We investigate on degree estimates of holomorphic isometries and holomorphic maps with minimum target dimension. We also construct a real-parameter family of mutually inequivalent holomorphic isometries from the unit ball to type IV domains. We also provide examples of non-isometric proper holomorphic maps from the complex unit ball to classical domains.