A new $\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$-invariant of dessins d'enfants

Ravi Jagadeesan

We study the action of $\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$ on the category of Belyi functions (finite, étale covers of $\mathbb{P}^1_{\overline{\mathbb{Q}}}\setm…