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arXiv · 1911.10848

On rigid germs of finite morphisms of smooth surfaces

Vik. S. Kulikov
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Abstract

We prove that a germ of a finite morphism of smooth surfaces is rigid if the germ of its branch curve has one of $ADE$-singularity types and establish a correspondence between the set of rigid germs and the set of Belyi rational functions $f\in \bar{\mathbb Q}(z)$.

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Vik. S. Kulikov. 2019-11-25. On rigid germs of finite morphisms of smooth surfaces. https://doi.org/10.1070/sm9315

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