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Sbornik: Mathematics, 2021, Volume 212, Issue 9, Pages 1304–1328
DOI: https://doi.org/10.1070/SM9455
(Mi sm9455)
 

This article is cited in 3 scientific papers (total in 3 papers)

Rigid germs of finite morphisms of smooth surfaces and rational Belyi pairs

Vik. S. Kulikov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
References:
Abstract: In the paper “On rigid germs of finite morphisms of smooth surfaces” (Sb. Math., 211:10 (2020), 1354–1381), we defined a map $\beta\colon{\mathcal R\to\mathcal{B}el}$ from the set $\mathcal R$ of equivalence classes of rigid germs of finite morphisms branched in germs of curves having $ADE$ singularity types onto the set $\mathcal{B}el$ of rational Belyi pairs $f\colon\mathbb P^1\,{\to}\,\mathbb P^1$, considered up to the action of $\mathrm{PGL}(2,\mathbb C)$. In this article the inverse images of this map are investigated in terms of monodromies of Belyi pairs.
Bibliography: 7 titles.
Keywords: rigid germs of finite covers, Belyi pairs.
Funding agency Grant number
Russian Science Foundation 19-11-00237
This work was supported by the Russian Science Foundation under grant no. 19-11-00237.
Received: 28.05.2020
Bibliographic databases:
Document Type: Article
UDC: 515.172.7
MSC: 14B05
Language: English
Original paper language: Russian
Citation: Vik. S. Kulikov, “Rigid germs of finite morphisms of smooth surfaces and rational Belyi pairs”, Sb. Math., 212:9 (2021), 1304–1328
Citation in format AMSBIB
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\by Vik.~S.~Kulikov
\paper Rigid germs of finite morphisms of~smooth surfaces and rational Belyi pairs
\jour Sb. Math.
\yr 2021
\vol 212
\issue 9
\pages 1304--1328
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Linking options:
  • https://www.mathnet.ru/eng/sm9455
  • https://doi.org/10.1070/SM9455
  • https://www.mathnet.ru/eng/sm/v212/i9/p119
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
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    English version PDF:27
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    References:26
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