Lemma 76.31.2. Let $S$ be a scheme. Let $f : X \to Y$ be a finite type morphism of algebraic spaces over $S$. Let

be the function which associates to $y \in |Y|$ the integer discussed in Lemma 76.31.1. If $g : Y' \to Y$ is a morphism then

where $X' \to Y'$ is the base change of $f$.

## Comments (2)

Comment #8141 by Laurent Moret-Bailly on

Comment #8233 by Stacks Project on