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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
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.
Received: 28.05.2020
Citation:
Vik. S. Kulikov, “Rigid germs of finite morphisms of smooth surfaces and rational Belyi pairs”, Sb. Math., 212:9 (2021), 1304–1328
Linking options:
https://www.mathnet.ru/eng/sm9455https://doi.org/10.1070/SM9455 https://www.mathnet.ru/eng/sm/v212/i9/p119
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Abstract page: | 308 | Russian version PDF: | 46 | English version PDF: | 27 | Russian version HTML: | 111 | References: | 26 | First page: | 5 |
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