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Sbornik: Mathematics, 2020, Volume 211, Issue 10, Pages 1354–1381
DOI: https://doi.org/10.1070/SM9315 (Mi sm9315) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On rigid germs of finite morphisms of smooth surfaces

Vik. S. Kulikov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
English version PDF (742 kB) Citations (5) Russian version article
References:
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DOI: https://doi.org/10.1070/SM9315
Abstract: In the article, we show that the germ of a finite morphism of smooth surfaces is rigid if and only if the germ of its branch curve has an $ADE$ singularity type. We establish a correspondence between the set of rigid germs of finite morphisms and the set of Belyi rational functions $f\in\overline{\mathbb Q}(z)$.
Bibliography: 10 titles.
Keywords: rigid germs of finite morphisms, Belyi functions.
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: 10.08.2019 and 08.10.2019
Bibliographic databases:
Document Type: Article
UDC: 515.172.7
MSC: 14B05
Language: English
Original paper language: Russian
Citation: Vik. S. Kulikov, “On rigid germs of finite morphisms of smooth surfaces”, Sb. Math., 211:10 (2020), 1354–1381
Citation in format AMSBIB
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\by Vik.~S.~Kulikov
\paper On rigid germs of finite morphisms of smooth surfaces
\jour Sb. Math.
\yr 2020
\vol 211
\issue 10
\pages 1354--1381
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    • This publication is cited in the following 5 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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    Abstract page:345
    Russian version PDF:31
    English version PDF:20
    References:24
    First page:7
     
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