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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 3, Pages 3–8 (Mi fpm946)  
This article is cited in 1 scientific paper (total in 1 paper)

On Belyi pairs over arbitrary fields

V. A. Dremov, A. M. Vashevnik

M. V. Lomonosov Moscow State University
Full-text PDF (102 kB) Citations (1)
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Abstract: The main goal of this article is to extend Grothendieck's dessins d'enfant theory to arbitrary fields. In this paper, the definitions of a Belyi pair in positive characteristic and primes of bad reduction are given. We consider the graph $K_{3,3}$. This abstract graph corresponds to three different dessins. For each dessin we find the Belyi pair and the positive characteristics for which this pair exists. The set of primes of bad reduction is also given.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 149, Issue 3, Pages 1187–1190
DOI: https://doi.org/10.1007/s10958-008-0058-4
Bibliographic databases:
UDC: 512.624.3+512.772
Language: Russian
Citation: V. A. Dremov, A. M. Vashevnik, “On Belyi pairs over arbitrary fields”, Fundam. Prikl. Mat., 12:3 (2006), 3–8; J. Math. Sci., 149:3 (2008), 1187–1190
Citation in format AMSBIB
\Bibitem{DreVas06}
\by V.~A.~Dremov, A.~M.~Vashevnik
\paper On Belyi pairs over arbitrary fields
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 3
\pages 3--8
\mathnet{http://mi.mathnet.ru/fpm946}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2249704}
\zmath{https://zbmath.org/?q=an:1156.14023}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 149
\issue 3
\pages 1187--1190
\crossref{https://doi.org/10.1007/s10958-008-0058-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-39049145204}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Фундаментальная и прикладная математика
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