The Stacks project

Definition 84.27.3. Let $f : X \to S$ be a morphism of schemes. The simplicial scheme associated to $f$, denoted $(X/S)_\bullet $, is the functor $\Delta ^{opp} \to \mathit{Sch}$, $[n] \mapsto X \times _ S \ldots \times _ S X$ described in Simplicial, Example 14.3.5.

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