Automorphisms of normal quasi-circular domains
Automorphisms of normal quasi-circular domains
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DOI：
10.1016/j.bulsci.2013.10.002
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发表时间：
2014-03
影响因子：
1.3
通讯作者：
Atsushi Yamamori
中科院分区：
文献类型：
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作者：
Atsushi Yamamori
Kaup 证明，拟圆域的每一个保原点自同构都是一个多项式映射。在本文中，我们研究了拟圆域的权重与此类自同构的程度之间的关系。通过使用Bergman映射，我们证明了C 2 中正常拟圆域的每个保原点自同构都是线性的。
It was shown by Kaup that every origin-preserving automorphism of quasi-circular domains is a polynomial mapping. In this paper, we study how the weight of quasi-circular domains and the degree of such automorphisms are related. By using the Bergman mapping, we prove that every origin-preserving automorphism of normal quasi-circular domains in C 2 is linear.