PomeRemark 20.2.48.E131A2FB1C6A More generally, the same technique implies the following general result: Let $f\colon X\rightarrow Y$ be a projective morphism between complex manifolds and $(L,h)$ be a Hermitian pseudo-effective line bundle on $X$. Then for quasi-every4 $y\in Y$, the fiber $X_ y$ is smooth and
\[ \mathcal{I}(\lambda h|_{X_ y})=\operatorname{Res}_{X_ y}\left( \mathcal{I}(\lambda h) \right). \]
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