Geodesic
Belyi pairs corresponding to dessins d'enfants of genus~$3$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 62-64

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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. 
@article{VMUMM_2012_3_a13,
     author = {E. M. Epifanov},
     title = {Belyi pairs corresponding to dessins d'enfants of genus~$3$},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {62--64},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_3_a13/}
}
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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/