Geodesic
Belyi pairs corresponding to dessins d'enfants of genus $3$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 62-64 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 ($g\le2$) 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. 
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     author = {E. M. Epifanov},
     title = {Belyi pairs corresponding to dessins d'enfants of genus~$3$},
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E. M. Epifanov. Belyi pairs corresponding to dessins d'enfants of genus $3$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 62-64. http://geodesic.mathdoc.fr/item/VMUMM_2012_3_a13/

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