The Stacks project

96.2 Conventions

The conventions we use in this chapter are the same as those in the chapter on algebraic stacks, see Algebraic Stacks, Section 94.2. For convenience we repeat them here.

We work in a suitable big fppf site $\mathit{Sch}_{fppf}$ as in Topologies, Definition 34.7.6. So, if not explicitly stated otherwise all schemes will be objects of $\mathit{Sch}_{fppf}$. We record what changes if you change the big fppf site elsewhere (insert future reference here).

We will always work relative to a base $S$ contained in $\mathit{Sch}_{fppf}$. And we will then work with the big fppf site $(\mathit{Sch}/S)_{fppf}$, see Topologies, Definition 34.7.8. The absolute case can be recovered by taking $S = \mathop{\mathrm{Spec}}(\mathbf{Z})$.

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