Number fields generated by points in linear systems on curves
Irmak Balçik, Stephanie Chan, Yuan Liu, Bianca Viray
Published: 2025/3/10
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.