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Definition 34.8.11. Let $S$ be a scheme. Let $\mathit{Sch}_{ph}$ be a big ph site containing $S$.

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

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

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