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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)
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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
Russian version:
Matematicheskii Sbornik, 2020, Volume 211, Number 10, Pages 3–31
DOI: https://doi.org/10.4213/sm9315
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”, Mat. Sb., 211:10 (2020), 3–31; Sb. Math., 211:10 (2020), 1354–1381
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:303
    Russian version PDF:30
    English version PDF:15
    References:23
    First page:7
     
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