  It is usually supposed that inflation is of the slow-roll variety, and that
the inflaton generates the primordial curvature perturbation. According to the
curvaton hypothesis, inflation need not be slow-roll, and if it is the inflaton
generates a negligible curvature perturbation. We find that the construction of
slow-roll inflation models becomes much easier under this hypothesis. Also,
thermal inflation followed by fast-roll becomes viable, with no slow-roll
inflation at all.
