Belyi pair for the orientation cover of $ \overline{{\mathcal M}_{0,5}^{\mathbb R}}$
| Autor: | Amburg, Natalia, Kreines, Elena |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $\overline{{\mathcal M}_{0,5}^{\mathbb R}}$ be the Deligne-Mumford 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. Comment: A polished version |
| Databáze: | arXiv |
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