The Stacks project

Definition 38.34.13. Let $S$ be a scheme. Let $\mathit{Sch}_ h$ be a big h site containing $S$.

  1. The big h site of $S$, denoted $(\mathit{Sch}/S)_ h$, is the site $\mathit{Sch}_ h/S$ introduced in Sites, Section 7.25.

  2. The big affine h site of $S$, denoted $(\textit{Aff}/S)_ h$, is the full subcategory of $(\mathit{Sch}/S)_ h$ whose objects are affine $U/S$. A covering of $(\textit{Aff}/S)_ h$ is any covering $\{ U_ i \to U\} $ of $(\mathit{Sch}/S)_ h$ which is a standard h covering.

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