2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73203We point out how some recent developments in the theory of constant scalar curvature Kähler metrics can be used to clarify the existence issue for such metrics in the special case of geometrically ruled complex surfaces.Corrected typos, updated referencesDifferential GeometryAlgebraic Geometry53C55; 32J15A remark on Kähler metrics of constant scalar curvature on ruled complex surfacestext