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arXiv · 2503.07846

Number fields generated by points in linear systems on curves

Irmak Balçik·Stephanie Chan·Yuan Liu·Bianca Viray
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Abstract

We develop techniques for determining the fibers of a morphism of curves $\phi: C \to D$ over a nonarchimedean local field $K$. These results have applications to studying closed point on curves over global fields since closed points on $C$ of large degree or of very small degree are known to all arise as fibers of morphisms.

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Irmak Balçik, Stephanie Chan, Yuan Liu, Bianca Viray. 2025-03-10. Number fields generated by points in linear systems on curves. https://arxiv.org/abs/2503.07846

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