Lemma 29.50.2 (01RP)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 29: Morphisms of Schemes
Section 29.50: Birational morphisms
Lemma 29.50.2 (cite)

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Lemma 29.50.2. Let $f : X \to Y$ be a morphism of schemes having finitely many irreducible components. If $f$ is birational then $f$ is dominant.

Proof. Follows from Lemma 29.8.2 and the definition. $\square$

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