Geometry of division rings

2022/09/13 by Nikolaev, Igor
#12E15 #32J15 #46L85 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2209.05983

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.

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