We study the adsorption of polymer chains on a fluctuating surface. Ph
ysical examples are provided by polymer adsorption at the rough interf
ace between two non-miscible liquids, or on a membrane. In a mean-fiel
d approach, we find that the self-avoiding chains undergo an adsorptio
n transition, accompanied by a stiffening of the fluctuating surface.
In particular, adsorption of polymers on a membrane induces a surface
tension and leads to a strong suppression of roughness.