Lemma 92.20.4. Let $f : (X, \mathcal{O}_ X) \to (Y, \mathcal{O}_ Y)$ be a morphism of ringed spaces. There is a canonical map $L_{X/Y} \to \mathop{N\! L}\nolimits _{X/Y}$ which identifies the naive cotangent complex with the truncation $\tau _{\geq -1}L_{X/Y}$.
Proof. Special case of Lemma 92.18.10. $\square$
Comments (0)