| Classification of Proper Holomorphic Mappings between Hartogs Domains over Homogeneous Siegel Domains |
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| 作者姓名： | Lei WANG |
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| 作者单位： | School of Mathematics and Statistics, Huazhong University of Science and Technology |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant Nos. 11801187, 11871233 and 11871380)； |
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| 摘 要： | The Hartogs domain over homogeneous Siegel domain DN,s(s > 0) is defined by the inequality ■, where D is a homogeneous Siegel domain of type Ⅱ,(z, ζ) ∈ D × CN and KD(z, z) is the Bergman kernel of D. Recently, Seo obtained the rigidity result that proper holomorphic mappings between two equidimensional domains DN,s and D’N’,s’ are biholomorphisms for N ≥ 2. In this article, we find a counter-example to show that the rigidity result is not true for D...
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