| Proper Holomorphic Maps from Domains in C2 with Transverse Circle Action |
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| 引用本文： | Adam COFFMAN,Yifei PAN. Proper Holomorphic Maps from Domains in C2 with Transverse Circle Action[J]. 数学年刊B辑(英文版), 2007, 28(5): 533-542 |
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| 作者姓名： | Adam COFFMAN Yifei PAN |
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| 作者单位： | Department of |
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| 摘 要： | The authors consider proper holomorphic mappings between smoothly bounded pseudoconvex regions in complex 2-space,where the domain is of finite type and admits a transverse circle action.The main result is that the closure of each irreducible component of the branch locus of such a map intersects the boundary of the domain in the union of finitely many orbits of the group action.
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| 收稿时间： | 2014-03-06 |
Proper Holomorphic Maps from Domains in $C^2$ with Transverse Circle Action |
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| Adam COFFMAN and Yifei PAN. Proper Holomorphic Maps from Domains in $C^2$ with Transverse Circle Action[J]. Chinese Annals of Mathematics,Series B, 2007, 28(5): 533-542 |
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| Authors: | Adam COFFMAN and Yifei PAN |
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| Affiliation: | Department of Mathematical Sciences, Indiana University - Purdue University Fort Wayne, Fort Wayne, IN 46805-1499, USA.;Department of Mathematical Sciences, Indiana University - Purdue University Fort Wayne, Fort Wayne, IN 46805-1499, USA; College of Mathematics and Information Sciences, Jiangxi Normal University, Nanchang 330022, China. |
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| Abstract: | The authors consider proper holomorphic mappings between smoothly bounded pseudoconvex regions in complex 2-space,where the domain is of finite type and admits a transverse circle action.The main result is that the closure of each irreducible component of the branch locus of such a map intersects the boundary of the domain in the union of finitely many orbits of the group action. |
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| Keywords: | Proper holomorphic map Pseudoconvex domain |
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