2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147159In this note, we will show that Bogomolov conjecture holds for a non-isotrivial curve of genus 2 over a function field.8 pages (with 2 tables). AmSLaTeX ver. 1.2 (with LaTeX2e). In this new version, we remove the assumption of characteristic by remarks of Prof. LiuAlgebraic Geometrytext