Polymers which are anchored to membranes exert bending moments onto th
ese membranes. It is shown by general scaling arguments and explicit c
alculations for ideal chains i) that the polymer-induced ''spontaneous
'' curvature M(sp) has the scaling form Omega(sp) (epsilon N-phi)/N-nu
, where N and epsilon are the chain length and the distance from the a
dsorption-desorption transition, respectively, and ii) that M(sp) chan
ges its sign close to this transition. Thus, if the polymer and the me
mbrane experience effectively attractive and repulsive interactions, t
he membrane is bent towards and away from the polymer, respectively.