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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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