Realizability of Some Classes of Abstract Branch Data over Riemann Sphere
Online published: 2004-05-10
对一类抽象分歧数据，给出一个充分必要条件，使得它们能够实现为黎曼球面上分歧覆盖的分歧数据。
关键词： 黎曼球面; Riemann-Hurwitz公式; 分歧覆盖
蒋云峰 . 一类抽象分歧数据在黎曼球面上的实现(英文)[J]. 中国科学院大学学报, 2004 , 21(3) : 299 -304 . DOI: 10.7523/j.issn.2095-6134.2004.3.002
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.
Key words： Riemann sphere; Riemann Hurwitz formula; branched coverings
[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
/
| 〈 |
|
〉 |
