Geometry of division rings
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2022
- DOI:
- arXiv:
- arXiv:2209.05983
- Bibcode:
- 2022arXiv220905983N
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory;
- Mathematics - Operator Algebras;
- 12E15;
- 32J15;
- 46L85
- E-Print:
- 11pages, 5 figures