The Degree of Proper Holomorphic Mappings Between Special Domains in DOUBLE-STRUCK CAPITAL C-n

doi:10.1007/s10114-020-9299-z

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	The Degree of Proper Holomorphic Mappings Between Special Domains in DOUBLE-STRUCK CAPITAL C-n
	Ning, Jia Fu 1; Zhou, Xiang Yu 2,3
	2020-04-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	36 期号:4 页码:395-400
摘要	Let Gi be closed Lie groups of U(n), omega(i) be bounded G(i)-invariant domains in DOUBLE-STRUCK CAPITAL C-n which contains 0, and O(DOUBLE-STRUCK CAPITAL C-n)(Gi) = DOUBLE-STRUCK CAPITAL C, for i = 1, 2. It is known that if f: omega(1) ->} omega(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.
关键词	Group action degree of polynomial mapping proper lomorphic mapping Bergman kernel invariant domain
DOI	10.1007/s10114-020-9299-z
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11801572] ; National Natural Science Foundation of China[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000525326700003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51074
专题	中国科学院数学与系统科学研究院
通讯作者	Ning, Jia Fu
作者单位	1.Cent South Univ, Dept Math, Changsha 410083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ning, Jia Fu,Zhou, Xiang Yu. The Degree of Proper Holomorphic Mappings Between Special Domains in DOUBLE-STRUCK CAPITAL C-n[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2020,36(4):395-400.
APA	Ning, Jia Fu,&Zhou, Xiang Yu.(2020).The Degree of Proper Holomorphic Mappings Between Special Domains in DOUBLE-STRUCK CAPITAL C-n.ACTA MATHEMATICA SINICA-ENGLISH SERIES,36(4),395-400.
MLA	Ning, Jia Fu,et al."The Degree of Proper Holomorphic Mappings Between Special Domains in DOUBLE-STRUCK CAPITAL C-n".ACTA MATHEMATICA SINICA-ENGLISH SERIES 36.4(2020):395-400.