The Stacks project

Definition 90.19.1. Let $\mathcal{F}$ be a category cofibered in groupoids over $\mathcal C_\Lambda $. Let $x' \to x$ be a morphism in $\mathcal{F}$ lying over $A' \to A$. The kernel

\[ \text{Inf}(x'/x) = \mathop{\mathrm{Ker}}(\text{Aut}_{A'}(x') \to \text{Aut}_ A(x)) \]

is the group of infinitesimal automorphisms of $x'$ over $x$.

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View Definition 90.19.1 as pdf