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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}
Linking options:
  • https://www.mathnet.ru/eng/fpm823
  • https://www.mathnet.ru/eng/fpm/v11/i2/p25
    • This publication is cited in the following 4 articles:
    1. George Shabat, MATRIX Book Series, 1, 2016 MATRIX Annals, 2018, 305  crossref
    2. D. A. Oganesyan, “Zolotarev polynomials and reduction of Shabat polynomials into a positive characteristic”, Moscow University Mathematics Bulletin, 71:6 (2016), 248–252  mathnet  crossref  mathscinet  isi
    3. George B. Shabat, “Visualizing Algebraic Curves: from Riemann to Grothendieck”, Zhurn. SFU. Ser. Matem. i fiz., 1:1 (2008), 42–51  mathnet  elib
    4. V. A. Dremov, A. M. Vashevnik, “On Belyi pairs over arbitrary fields”, J. Math. Sci., 149:3 (2008), 1187–1190  mathnet  crossref  mathscinet  zmath
    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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    Abstract page:492
    Full-text PDF :161
    References:76
    First page:1
     
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