2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62145Lefschetz fibration is the symplectic analogue of stable holomorphic fibration in complex geometry. A 4-dimensional stable holomorphic fibration satisfies the famous Parshin-Arakelov inequality. In this note we present an analogous inequality for a 4-dimensional Lefschetz fibration.Symplectic GeometryAlgebraic GeometrySymplectic Parshin-Arakelov inequalitytext