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Realizability of Some Classes of Abstract Branch Data over Riemann Sphere

  • JIANG YunFeng
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  • Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China

Online published: 2004-05-10

Abstract

branch data,this paper gives a sufficient and necessary condition of them to be realized as the branch data of some branched coverings over the Riemann sphere.

Cite this article

JIANG YunFeng . Realizability of Some Classes of Abstract Branch Data over Riemann Sphere[J]. Journal of University of Chinese Academy of Sciences, 2004 , 21(3) : 299 -304 . DOI: 10.7523/j.issn.2095-6134.2004.3.002

References

[1] A L Edmonds, R S Kulkarni, R E Stong.Realizability of branched coverings of surfaces.Trans.Amer.Math.Soc., 1984, 282(2):773-790

[2] A Hurwitz.Uber Riemann' sche Flachen mit gegebenen Verzueigungspunken.Math.Ann., 1891, 103:1-60

[3] D Husemoller.Ramified coverings of Riemann surfaces.Duke.Math.J., 1962, 29:167-174

[4] Xu Chun-Jing.Realizability of a class of branch data.(preprint)

[5] Krzysztof Baranski.On realizability of branched coverings of the sphere.Topology and Its Applications, 2001, 116:279-291

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