Geodesic
Belyi pair for the orientation cover of $\overline{\mathcal M_{0,5}^{\mathbb R}}$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 25 (2024) no. 2, pp. 79-101 
N. Ya. Amburg; E. M. Kreines. Belyi pair for the orientation cover of $\overline{\mathcal M_{0,5}^{\mathbb R}}$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 25 (2024) no. 2, pp. 79-101. http://geodesic.mathdoc.fr/item/FPM_2024_25_2_a5/
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     title = {Belyi pair for the orientation cover of $\overline{\mathcal M_{0,5}^{\mathbb R}}$},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $\overline{{\mathcal M}_{0,5}^{\mathbb R}}$ be the Deligne–Mumford compactification of the moduli space of genus $0$ real algebraic curves with five 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 genus $4$. In this paper, we compute the Belyi pair for this dessin. In particular, it turns out that the corresponding curve is the celebrated Bring curve.

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