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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 2, Pages 25–43 (Mi fpm823)  
This article is cited in 4 scientific papers (total in 4 papers)

Prime numbers of bad reduction for dessins of genus 0

A. M. Vashevnik

M. V. Lomonosov Moscow State University
Full-text PDF (199 kB) Citations (4)
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Abstract: This article expands the special case of the Grothendieck theory to arbitrary fields. A formal definition of Belyi function over an arbitrary field is introduced. It turns out that the properties of Belyi functions over finite fields and the properties of classical Belyi functions are quite different. A definition of the primes of bad reduction is also given, and the primes of bad reduction are calculated for some dessin families.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 2, Pages 1883–1894
DOI: https://doi.org/10.1007/s10958-007-0095-4
Bibliographic databases:
UDC: 512.624.3
Language: Russian
Citation: A. M. Vashevnik, “Prime numbers of bad reduction for dessins of genus 0”, Fundam. Prikl. Mat., 11:2 (2005), 25–43; J. Math. Sci., 142:2 (2007), 1883–1894
Citation in format AMSBIB
\Bibitem{Vas05}
\by A.~M.~Vashevnik
\paper Prime numbers of bad reduction for dessins of genus~0
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 2
\pages 25--43
\mathnet{http://mi.mathnet.ru/fpm823}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2157927}
\zmath{https://zbmath.org/?q=an:1073.14043}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 142
\issue 2
\pages 1883--1894
\crossref{https://doi.org/10.1007/s10958-007-0095-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947356280}
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  • https://www.mathnet.ru/eng/fpm/v11/i2/p25
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:71
    First page:1
     
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