English

On rigid germs of finite morphisms of smooth surfaces

Algebraic Geometry 2021-02-03 v2

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 ADEADE-singularity types and establish a correspondence between the set of rigid germs and the set of Belyi rational functions fQˉ(z)f\in \bar{\mathbb Q}(z).

Keywords

Cite

@article{arxiv.1911.10848,
  title  = {On rigid germs of finite morphisms of smooth surfaces},
  author = {Vik. S. Kulikov},
  journal= {arXiv preprint arXiv:1911.10848},
  year   = {2021}
}

Comments

29 pages; formulation of Theorem 1 is changed