@article{0ed9949df50f41e7ba437b0fb49a1550,
title = "Geometric properties of curves defined over number fields",
abstract = "The article contains a detailed proof of the famous Belyi theorem on geometry of complex algebraic curves defined over number fields. It also includes the discussion of several constructions and conjectures inspired by Belyi{\textquoteright}s result which where brought up by the first author during his colloquium talks at different universities within the period from 1979 to 1984.",
keywords = "Algebraic curve, Number field, Triangulation",
author = "Bogomolov, {Fedor A.} and Dale Husem{\"o}ller",
note = "Funding Information: The first author is partially supported by the HSE University Basic Research Program, Russian Academic Excellence Project {\textquoteleft}5-100{\textquoteright} and by EPSRC programme Grant EP/M024830. Funding Information: The first author wants to thank Arman Sarikyan for his help in editing and preparation of the initial Max Planck Institute preprint for publication. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",
year = "2022",
month = sep,
doi = "10.1007/s40879-021-00497-2",
language = "English (US)",
volume = "8",
pages = "792--805",
journal = "European Journal of Mathematics",
issn = "2199-675X",
publisher = "Springer International Publishing AG",
number = "3",
}