English

Geometry of division rings

Algebraic Geometry 2022-09-14 v1 Number Theory Operator Algebras

Abstract

We prove an analog of Belyi's theorem for the algebraic surfaces. Namely, any non-singular algebraic surface can be defined over a number field if and only it covers the complex projective plane with ramification at three knotted two-dimensional spheres.

Keywords

Cite

@article{arxiv.2209.05983,
  title  = {Geometry of division rings},
  author = {Igor Nikolaev},
  journal= {arXiv preprint arXiv:2209.05983},
  year   = {2022}
}

Comments

11pages, 5 figures

R2 v1 2026-06-28T01:12:45.468Z