The Stacks project

Definition 34.7.1. Let $T$ be a scheme. An fppf covering of $T$ is a family of morphisms $\{ f_ i : T_ i \to T\} _{i \in I}$ of schemes such that each $f_ i$ is flat, locally of finite presentation and such that $T = \bigcup f_ i(T_ i)$.

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View Definition 34.7.1 as pdf