The Stacks project

Lemma 94.6.1. The functor

\[ p : \textit{FÉt} \longrightarrow (\mathit{Sch}/S)_{fppf} \]

defines a stack over $(\mathit{Sch}/S)_{fppf}$.

Proof. Fppf descent for finite étale morphisms follows from Descent, Lemmas 35.37.1, 35.23.23, and 35.23.29. Details omitted. $\square$

Comments (2)

Comment #6272 by Owen on

'stack in groupoids' -> this is not true since the fiber categories are not groupoids.

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