Belyi pair for the orientation cover of~$ \overline{{\mathcal M}_{0,5}^{\mathbb R}}$

Autor: Amburg, Natalia, Kreines, Elena
Rok vydání: 2023
Předmět:
DOI: 10.48550/arxiv.2306.06282
Popis: Let $\overline{{\mathcal M}_{0,5}^{\mathbb R}}$ be the Deligne-Mamford compactification of the moduli space of genus 0 real algebraic curves with 5 marked points. By ${\mathcal L}(\overline{{\mathcal M}_{0,5}^{\mathbb R}})$ we denote its orientation cover. The cell decomposition of ${\mathcal L}(\overline{{\mathcal M}_{0,5}^{\mathbb R}})$ is a dessin d'enfant of the genus 4. In this paper we compute the Belyi pair for this dessin. In particular, it appears that the corresponding curve is a celebrated Bring curve.
Databáze: OpenAIRE