Lemma 27.21.4 (01OD)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 27: Constructions of Schemes
Section 27.21: Projective bundles
Lemma 27.21.4 (cite)

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Lemma 27.21.4. Let $S$ be a scheme. The structure morphism $\mathbf{P}(\mathcal{E}) \to S$ of a projective bundle over $S$ is separated.

Proof. Immediate from Lemma 27.16.9. $\square$

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