The Stacks project

Definition 10.48.3. Let $k$ be a field. Let $S$ be a $k$-algebra. We say $S$ is geometrically connected over $k$ if for every field extension $k'/k$ the spectrum of $S \otimes _ k k'$ is connected.

Comments (2)

Comment #1104 by Michael on

There is a typo: R should be S

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View Definition 10.48.3 as pdf