  We propose a mechanism for superconductivity suppression in stripe-correlated
cuprates based on the pinning of the stripes by impurities, such as Zn. The
suppression of superfluid density occurs in the vicinity of the impurity due to
the low dimensional character of superfluid carriers on the stripes. Simple
geometric argument about the planar fraction of the carriers, affected by
stripe pinning, leads to prediction for impurity critical concentration $z_c
\sim T^2_c$ and for the linear $T_c$ suppression by Zn doping. We show that our
results reproduce the Uemura relation in the pure system and we predict the
behavior of the superfluidy density as a function of Zn concentration. We
compare our results with available data.
