COMMUNICATIONS IN ALGEBRA, vol.40, no.3, pp.1173-1178, 2012 (SCI-Expanded)
We investigate the problem of lifting fibrations of genus one on algebraic surfaces of Kodaira dimension zero. We prove that fibrations on the following surfaces lift: Enriques surfaces, K3 surfaces covering Enriques surfaces, certain hyperelliptic, and quasi-hyperelliptic surfaces.