Belyi pair corresponding to the self-dual single-faced genus 3 dessin d'enfant / E. M. Epifanov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 3. P. 62-64 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
In this article we discuss a question arising in the dessins d'enfants theory: we are interested in finding the defining equations for the Belyi pair of a given dessin. Low genus (g ≤ 2) cases are well-studied, there exist many examples of Belyi pairs of those genera and some effective methods have been developed. We present a method which allows to find Belyi pairs of self-dual genus 3 dessins.
Key words: Grothendieck dessins d'enfants, Belyi pairs.