Constructing Strebel differentials via Belyi maps on the Riemann sphere
Complex Variables
2020-05-15 v1
Abstract
In this manuscript, by using Belyi maps and dessin d'enfants, we construct some concrete examples of Strebel differentials with four double poles on the Riemann sphere. As an application, we could give some explicit cone spherical metrics on the Riemann sphere.
Cite
@article{arxiv.1901.10774,
title = {Constructing Strebel differentials via Belyi maps on the Riemann sphere},
author = {Jijian Song and Bin Xu},
journal= {arXiv preprint arXiv:1901.10774},
year = {2020}
}
Comments
22 pages, 15 figures