We show that a compact complex surface which fibers smoothly over a curve
of genus ≥2 with fibers of genus ≥2 fibers holomorphically. We
deduce an improvement of a result in [D Kotschick, Math. Res. Lett.
5 (1998) 227–234] and a characterisation of fibered surfaces with
zero signature.
Keywords
surface bundle, fibered surface, mapping
class group
