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Rational approximation on cubic hypersurfaces

2023/10/02 by McKinnon, David
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2310.01640

Abstract

We compute the constant of approximation for an arbitrary rational point on an arbitrary smooth cubic hypersurface X over a number field k, provided that there is a k-rational line somewhere on X. In the process, we verify the Coba conjecture for X.

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