The Stacks project

Lemma 38.43.7. In Situation 38.43.1 let $b : X' \to X$ be the morphism of Lemma 38.43.6. Consider the effective Cartier divisor $D' = b^{-1}D$ with ideal sheaf $\mathcal{I}' \subset \mathcal{O}_{X'}$. Then $Q = L\eta _{\mathcal{I}'}Lb^*M$ is a perfect object of $D(\mathcal{O}_{X'})$.

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