Lemma 93.9.7. In Example 93.9.1 let $X = \mathop{\mathrm{Spec}}(P)$ be an affine scheme over $k$. With $\mathcal{D}\! \mathit{ef}_ P$ as in Example 93.8.1 there is a natural equivalence
of deformation categories.
Lemma 93.9.7. In Example 93.9.1 let $X = \mathop{\mathrm{Spec}}(P)$ be an affine scheme over $k$. With $\mathcal{D}\! \mathit{ef}_ P$ as in Example 93.8.1 there is a natural equivalence
of deformation categories.
Proof. The functor sends $(A, Y)$ to $\Gamma (Y, \mathcal{O}_ Y)$. This works because any deformation of $X$ is affine by More on Morphisms, Lemma 37.2.3. $\square$
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