Counting algebraic points of bounded degree on curves

2025/05/07 by Alvarado, Matias
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2505.04219

Abstract

Let X be a smooth projective curve over a number field k. Let f\colon X → ℙ¹ be a non-constant morphism that realizes the gonality of X. In this article we study the growth rate of \P∈ X(k )| [k(x):k]=ν, k(x)=k(f(x)), h(x)≤ T .\.

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