The Stacks project

Lemma 31.32.9. Let $X$ be a scheme. Let $\mathcal{I} \subset \mathcal{O}_ X$ be a nonzero quasi-coherent sheaf of ideals. If $X$ is integral, then the blowup $X'$ of $X$ in $\mathcal{I}$ is integral.

Comments (2)

Comment #2657 by Ko Aoki on

You should assume that is nonzero so that doesn't become empty.

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  • 7 comment(s) on Section 31.32: Blowing up

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