The Stacks project

Lemma 70.17.6. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$. Let $Z \subset X$ be an effective Cartier divisor. The blowup of $X$ in $Z$ is the identity morphism of $X$.

Proof. Immediate from the universal property of blowups (Lemma 70.17.5). $\square$


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