The Stacks project

Definition 92.3.2. The cotangent complex $L_{B/A}$ of a ring map $A \to B$ is the complex of $B$-modules associated to the simplicial $B$-module

\[ \Omega _{P_\bullet /A} \otimes _{P_\bullet , \epsilon } B \]

where $\epsilon : P_\bullet \to B$ is the standard resolution of $B$ over $A$.

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