关于Hurwitz理论:分枝曲面覆盖的计数On Hurwitz theory: enumerating branched surface coverings |
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课程网址: | http://videolectures.net/sicgt07_kwak_oht/ |
主讲教师: | Jin Ho Kwak |
开课单位: | 浦项科技大学 |
开课时间: | 2007-09-07 |
课程语种: | 英语 |
中文简介: | 通过对 Hurwitz 理论的时间顺序回顾,我们调查了一些已知的结果,这些结果列举了表面的几种类型的分支覆盖物的等价类。特别地,将提到与几种类型的图覆盖的等价类的枚举和不可定向表面的分支可定向表面覆盖的同构类的枚举的关系。我们还讨论了具有指定分支类型的分支覆盖物的类似问题。 |
课程简介: | With a chronological review of Hurwitz theory, we survey some known results on the enumeration of the equivalence classes of several types of branched coverings of a surface. In particular, relations with the enumeration of the equivalence classes of several types of graph coverings and enumerating the isomorphism classes of branched orientable surface coverings of a nonorientable surface will be mentioned. Also we discuss a similar problem for branched coverings having prescribed branched types. |
关 键 词: | Hurwitz 理论; 分支覆盖物; 定向表面覆盖 |
课程来源: | 视频讲座网 |
数据采集: | 2021-07-15:nkq |
最后编审: | 2021-07-15:nkq |
阅读次数: | 46 |