Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 3, Pages 62–64 (Mi vmumm501)  
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Belyi pairs corresponding to dessins d'enfants of genus $3$

E. M. Epifanov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: 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.
Key words: Grothendieck dessins d'enfants, Belyi pairs.
Received: 17.06.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 3, Pages 136–138
DOI: https://doi.org/10.3103/S0027132212030114
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: E. M. Epifanov, “Belyi pairs corresponding to dessins d'enfants of genus $3$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 3, 62–64; Moscow University Mathematics Bulletin, 67:3 (2012), 136–138
Citation in format AMSBIB
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\by E.~M.~Epifanov
\paper Belyi pairs corresponding to dessins d'enfants of genus~$3$
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 3
\pages 62--64
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3026847}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
\vol 67
\issue 3
\pages 136--138
\crossref{https://doi.org/10.3103/S0027132212030114}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84864816596}
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