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The Degree of Proper Holomorphic MappingsBetween Special Domains in C^n
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作者 jia fu ning Xiang Yu ZHOU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2020年第4期395-400,共6页
Let Gi be closed Lie groups of U (n), Ω i be bounded Gi-invariant domains in C^n which contains 0, and O(C^n)^Gi = C, for i = 1, 2. It is known that if f : Ω 1 → Ω 2 is a proper holomorphic mapping, and f^-1{0} = ... Let Gi be closed Lie groups of U (n), Ω i be bounded Gi-invariant domains in C^n which contains 0, and O(C^n)^Gi = C, for i = 1, 2. It is known that if f : Ω 1 → Ω 2 is a proper holomorphic mapping, and f^-1{0} = {0}, then f is a polynomial mapping. In this paper, we provide an upper bound for the degree of such a polynomial mapping using the multiplicity of f . 展开更多
关键词 Group action degree of polynomial mapping proper lomorphic mapping Bergman kernel invariant domain
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