2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120724We construct noncomplex smooth 4-manifolds which admit genus-2 Lefschetz fibrations over S^2. The fibrations are necessarily hyperelliptic, and the resulting 4-manifolds are not even homotopy equivalent to complex surfaces. Furthermore, these examples show that fiber sums of holomorphic Lefschetz fibrations do not necessarily admit complex structures.Geometric TopologyAlgebraic Geometrytext