 and every nef invertible sheaf $\mathcal N$ on $W$.  We may assume that $\mathcal F$ is a direct summand of $f_*\mathcal O_V(K_V+D+P)$ as in Definition \[x-def0.0\]. Let $N$ be a Cartier divisor on $W$ such that $\mathcal N\simeq \mathcal O_W(N)$. 