Lemma 76.39.2. Let $S$ be a scheme. Let $f : X \to B$ be a morphism of algebraic spaces over $S$. Let $U \subset B$ be an open subspace. Assume

$B$ is quasi-compact and quasi-separated,

$U$ is quasi-compact,

$f : X \to B$ is proper, and

$f^{-1}(U) \to U$ is finite locally free.

Then there exists a $U$-admissible blowup $B' \to B$ such that the strict transform $X'$ of $X$ is finite locally free over $B'$.

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