Lemma 70.7.2. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$. Let $D \subset X$ be an effective Cartier divisor. Then for the conormal sheaf we have $\mathcal{C}_{D/X} = \mathcal{I}_ D|D = \mathcal{O}_ X(D)^{\otimes -1}|_ D$.

Proof. Omitted. $\square$

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