Rational approximation on cubic hypersurfaces

David McKinnon

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arXiv · 2310.01640

Rational approximation on cubic hypersurfaces

David McKinnon

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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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David McKinnon. 2023-10-02. Rational approximation on cubic hypersurfaces. https://arxiv.org/abs/2310.01640

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