We study “ hilltop ” curvatons that evolve on a convex potential .
Hilltop curvatons evolving on the Hubble-induced potential are generic if supergravity is assumed in the theory .
We do not consider curvatons whose potential is protected from O ( H ) corrections , where H is the Hubble parameter .
We assume that the effective mass of a curvaton is expressed as m _ { \sigma } = cH , where the coefficient varies within 0.2 \leq c \leq 5 depending on the circumstances .
A negative mass term may lead to enhancement of curvaton fluctuation , which has a significant impact on the energy bound for low-scale inflation .
Using a simple curvaton model and following the conventional curvaton hypothesis , we demonstrate the generality of this enhancement .