Lemma 29.44.13. Let X_ i \to Y, i = 1, \ldots , n be finite morphisms of schemes. Then X_1 \amalg \ldots \amalg X_ n \to Y is finite too.
Proof. Follows from the algebra fact that if R \to A_ i, i = 1, \ldots , n are finite ring maps, then R \to A_1 \times \ldots \times A_ n is finite too. \square
Comments (0)