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arXiv · 2411.06050

An upper bound for the generalized greatest common divisor of rational points

Benjamín Barrios
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Abstract

Let $X$ be a smooth projective variety defined over a number field $K$. We give an upper bound for the generalized greatest common divisor of a point $x\in X$ with respect to an irreducible subvariety $Y\subseteq X$ also defined over $K$. To prove the result, we stablish a rather uniform Riemann--Roch type inequality.

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Benjamín Barrios. 2024-11-09. An upper bound for the generalized greatest common divisor of rational points. https://arxiv.org/abs/2411.06050

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