Definition 33.8.1 (0365)—The Stacks project

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Definition 33.8.1. Let $X$ be a scheme over the field $k$ . We say $X$ is geometrically irreducible over $k$ if the scheme $X_{k'}$ is irreducible ¹ for any field extension $k'$ of $k$ .

[1] An irreducible space is nonempty.

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