Geodesic
Rigid germs of finite morphisms of~smooth surfaces and rational Belyi pairs
Sbornik. Mathematics, Tome 212 (2021) no. 9, pp. 1304-1328

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{SM_2021_212_9_a5,
     author = {Vik. S. Kulikov},
     title = {Rigid germs of finite morphisms of~smooth surfaces and rational {Belyi} pairs},
     journal = {Sbornik. Mathematics},
     pages = {1304--1328},
     publisher = {mathdoc},
     volume = {212},
     number = {9},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2021_212_9_a5/}
}
TY  - JOUR
AU  - Vik. S. Kulikov
TI  - Rigid germs of finite morphisms of~smooth surfaces and rational Belyi pairs
JO  - Sbornik. Mathematics
PY  - 2021
SP  - 1304
EP  - 1328
VL  - 212
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2021_212_9_a5/
LA  - en
ID  - SM_2021_212_9_a5
ER  - 
%0 Journal Article
%A Vik. S. Kulikov
%T Rigid germs of finite morphisms of~smooth surfaces and rational Belyi pairs
%J Sbornik. Mathematics
%D 2021
%P 1304-1328
%V 212
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2021_212_9_a5/
%G en
%F SM_2021_212_9_a5
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/