2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79516We show that a compact complex surface which fibers smoothly over a curve of genus >1 with fibers of genus >1 fibers holomorphically. We deduce an improvement of a result in [D Kotschick, Math. Research Letters, 5 (1998) 227-234], and a characterisation of fibered surfaces with zero signature.8 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper15.abs.htmlDifferential GeometryComplex Variables14H15, 14J29, 20F34, 32L30, 57M50text