Lemma 92.18.6 (08UR)—The Stacks project

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Table of contents
Part 6: Deformation Theory
Chapter 92: The Cotangent Complex
Section 92.18: The cotangent complex
Lemma 92.18.6 (cite)

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Lemma 92.18.6. Let $\mathcal{C}$ be a site. Let $\mathcal{A} \to \mathcal{B}$ be a homomorphism of sheaves of rings on $\mathcal{C}$ . Then $H^0(L_{\mathcal{B}/\mathcal{A}}) = \Omega _{\mathcal{B}/\mathcal{A}}$ .

Proof. Follows from Lemmas 92.18.4 and 92.4.5 and Modules on Sites, Lemma 18.33.4. $\square$

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