 and hence $\Supp N_r\subseteq\Supp N_q$ and $\kappa(X,N_r)=0$. Therefore, for $r>q$, all divisors $N_r$ are supported on a reduced Weil divisor. By Lemma \[relation\], there are positive integers $k\neq\ell$ larger than $q$ in $\mathcal S$ such that $N_k\leq N_\ell$, and hence by , $$(\ell-k)