2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78160We show that hyperelliptic symplectic Lefschetz fibrations are symplectically birational to two-fold covers of rational ruled surfaces, branched in a symplectically embedded surface. This reduces the classification of genus 2 fibrations to the classification of certain symplectic submanifolds in rational ruled surfaces.23 pages, 1 figure, Latex2e with AMS-fontsGeometric TopologyAlgebraic GeometrySymplectic GeometryOn hyperelliptic $C^\infty$-Lefschetz fibrations of four-manifoldstext