Vortex dynamics in a two-dimensional superconducting film is considere
d in the adiabatic limit when the dynamics is dominated by the Magnus
force. A vortex liquid phase is studied in presence of vortex-vortex i
nteractions and a smooth random potential and is shown to exhibit a fr
actional quantum Hall effect. This phenomenon can account for observed
steps in the magnetization curves of YBa2Cu3O7-delta.