  We use $L^2$ estimates for the $\bar\partial$ equation to find geometric
conditions on discrete interpolating varieties for weighted spaces $A_p(\C)$ of
entire functions such that $| f(z)|\le Ae^{Bp(z)}$ for some $A,B>0$. In
particular, we give a characterization when $p(z)=e^{| z|}$ and more generally
when $\ln p(e^r)$ is convex and $\ln p(r)$ is concave.
