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| Proper Holomorphic Maps from Domains in $C^2$ with Transverse Circle Action |
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Citation： |
Adam COFFMAN,Yifei PAN.Proper Holomorphic Maps from Domains in $C^2$ with Transverse Circle Action[J].Chinese Annals of Mathematics B,2007,28(5):533~542 |
| Page view： 1195
Net amount： 1000 |
Authors： |
Adam COFFMAN; Yifei PAN |
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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. |
Keywords： |
Proper holomorphic map, Pseudoconvex domain |
Classification： |
32H35, 32T25 |
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