On Destabilizing Divergences in Supergravity Models

We show that, for standard N=1 supergravity coupled to chiral matter, if the Kahler potential has no terms linear in chiral superfields then none are generated through quad. div. one--loop corrections. If however <V>=0 and susy is spontaneously broken, linear terms are present and new linear terms may be generated due to nonrenormalizable couplings in K. These can potentially destabilize the weak-scale hierarchy.