Remark 42.38.11. Let $(S, \delta )$ be as in Situation 42.7.1. Let $X$ be locally of finite type over $S$. Let $\mathcal{E}$ be a finite locally free $\mathcal{O}_ X$-module. In general we write $X = \coprod X_ r$ as in Remark 42.38.10. If only a finite number of the $X_ r$ are nonempty, then we can set

where the equality is Lemma 42.35.4. If infinitely many $X_ r$ are nonempty, we will use the same notation to denote

see Remark 42.35.5 for notation.

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