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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 320, Pages 177–188
DOI: https://doi.org/10.4213/tm4304 (Mi tm4304) 		 
Ribbon Graphs and Belyi Pairs with Partially Prescribed Branching

Vik. S. Kulikova, G. B. Shabatb

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b Russian State University for the Humanities, Miusskaya pl. 6, Moscow, 125047 Russia
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DOI: https://doi.org/10.4213/tm4304
Abstract: Given a ribbon graph of arbitrary genus, we construct a spherical graph with the same two columns of the passport. And given a spherical graph, we present an algorithm for constructing a graph with the two columns of the same passport and any admissible genus. We also discuss possible applications to the theory of dessins d'enfants.
Keywords: Belyi pairs, ribbon graphs, monodromy.
Received: January 20, 2022
Revised: November 7, 2022
Accepted: December 22, 2022
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 320, Pages 161–171
DOI: https://doi.org/10.1134/S008154382301008X
Bibliographic databases:
Document Type: Article
UDC: 512.772+519.172
Language: Russian
Citation: Vik. S. Kulikov, G. B. Shabat, “Ribbon Graphs and Belyi Pairs with Partially Prescribed Branching”, Algebra and Arithmetic, Algebraic, and Complex Geometry, Collected papers. In memory of Academician Alexey Nikolaevich Parshin, Trudy Mat. Inst. Steklova, 320, Steklov Math. Inst., Moscow, 2023, 177–188; Proc. Steklov Inst. Math., 320 (2023), 161–171
Citation in format AMSBIB
\Bibitem{KulSha23}
\by Vik.~S.~Kulikov, G.~B.~Shabat
\paper Ribbon Graphs and Belyi Pairs with Partially Prescribed Branching
\inbook Algebra and Arithmetic, Algebraic, and Complex Geometry
\bookinfo Collected papers. In memory of Academician Alexey Nikolaevich Parshin
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 320
\pages 177--188
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4304}
\crossref{https://doi.org/10.4213/tm4304}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4582617}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 320
\pages 161--171
\crossref{https://doi.org/10.1134/S008154382301008X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85161020745}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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