2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67556We prove that any genus-2 Lefschetz fibration without reducible fibers and with ``transitive monodromy'' is holomorphic. The latter condition comprises all cases where the number of singular fibers is not congruent to 0 modulo 40. An auxiliary statement of independent interest is the holomorphicity of symplectic surfaces in S^2-bundles over S^2, of relative degree up to 7 over the base, and of symplectic surfaces in CP^2 of degree up to 17.54 pp., 1 figureSymplectic GeometryOn the holomorphicity of genus two Lefschetz fibrationstext