[IV Corollary 4.5.13.1(i), EGA]

Lemma 33.7.13. Let $k$ be a field. Let $T \to X$ be a morphism of schemes over $k$. Assume $T$ is geometrically connected and $X$ connected. Then $X$ is geometrically connected.

Proof. This is a reformulation of Lemma 33.7.12. $\square$

Comment #2702 by on

A reference is EGA IV_2, Corollary 4.5.13.1 (i)

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