The multiple fibration problem for seifert 3-Orbifolds

We conclude the multiple fibration problem for closed orientable Seifert three-orbifolds, namely, the determination of all the inequivalent fibrations that such an orbifold may admit. We treat here geometric orbifolds with geometries R3 and S2xR and bad orbifolds (hence non-geometric), since the only other geometry for which the multiple fibration phenomenon occurs, namely, S3, has been treated before by the second and third authors. For the geometry R3 we recover, by direct and geometric arguments, the computer-assisted results obtained by Conway, Delgado-Friedrichs, Huson and Thurston.