Rigid germs of finite morphisms of smooth surfaces and rational Belyi pairs

Author:

Kulikov Vik. S.

Abstract

Abstract In the paper “On rigid germs of finite morphisms of smooth surfaces” (Sb. Math., 211:10 (2020), 1354–1381), we defined a map from the set of equivalence classes of rigid germs of finite morphisms branched in germs of curves having singularity types onto the set of rational Belyi pairs , considered up to the action of . In this article the inverse images of this map are investigated in terms of monodromies of Belyi pairs. Bibliography: 7 titles.

Funder

Russian Science Foundation

Publisher

IOP Publishing

Subject

Algebra and Number Theory

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Ribbon Graphs and Belyi Pairs with Partially Prescribed Branching;Proceedings of the Steklov Institute of Mathematics;2023-03

2. Ribbon Graphs and Belyi Pairs with Partially Prescribed Branching;Trudy Matematicheskogo Instituta imeni V.A. Steklova;2023-03

3. О локальной фундаментальной группе дополнения к кривой в нормальной поверхности;Известия Российской академии наук. Серия математическая;2023

4. On the local fundamental group of the complement of a curve in a normal surface;Izvestiya: Mathematics;2023

5. Теорема Кизини для почти общих накрытий проективной плоскости;Математический сборник;2022

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