Calculating and Drawing Belyi Pairs
- 作者: Shabat G.1
-
隶属关系:
- Russian State University for the Humanities
- 期: 卷 226, 编号 5 (2017)
- 页面: 667-693
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240045
- DOI: https://doi.org/10.1007/s10958-017-3557-3
- ID: 240045
如何引用文章
详细
The paper contains a survey of the current state of a constructive part in dessin d’enfants theory. Namely, it is devoted to actual establishing the correspondence between the Belyi pairs and their combinatorial-topological representations. This correspondence is established in terms of equivalence of categories, and all relevant categories are introduced. Several connections with arithmetic are discussed. One of the sections presents a possible generalization of the theory, in which three branch points, allowed for the Belyi functions, are replaced by four. Several directions for further research are presented. Bibliography: 80 titles.
作者简介
G. Shabat
Russian State University for the Humanities
编辑信件的主要联系方式.
Email: george.shabat@gmail.com
俄罗斯联邦, Moscow