Geodesic
Rigid germs of finite morphisms of smooth surfaces and rational Belyi pairs
Sbornik. Mathematics, Tome 212 (2021) no. 9, pp. 1304-1328 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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Vik. S. Kulikov. Rigid germs of finite morphisms of smooth surfaces and rational Belyi pairs. Sbornik. Mathematics, Tome 212 (2021) no. 9, pp. 1304-1328. http://geodesic.mathdoc.fr/item/SM_2021_212_9_a5/

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