Classification of Proper Holomorphic Mappings between Hartogs Domains over Homogeneous Siegel Domains

作     者：Lei WANG Lei WANG

作者机构：School of Mathematics and StatisticsHuazhong University of Science and TechnologyWuhan 430074P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2023年第39卷第11期

页      面：2259-2274页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China(Grant Nos.11801187 11871233 and 11871380) 

主　　题：Hartogs domains homogeneous Siegel domain of typeⅡ proper holomorphic mappings automorphisms 

摘      要：The Hartogs domain over homogeneous Siegel domain D_(N,s)(s0)is defined by the inequality■,where D is a homogeneous Siegel domain of typeⅡ,(z,ζ)∈D×C~N and KD(z,z)is the Bergman kernel of ***,Seo obtained the rigidity result that proper holomorphic mappings between two equidimensional domains D_(N,s)and D _(N ,s )are biholomorphisms for N≥*** this article,we find a counter-example to show that the rigidity result is not true for D_(1,s)and obtain a classification of proper holomorphic mappings between D_(1,s)and D _(1,s ).