Lemma 109.16.6 (0E84)—The Stacks project

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Lemma 109.16.6. The morphisms $\mathcal{M} \to \mathop{\mathrm{Spec}}(\mathbf{Z})$ and $\mathcal{M}_ g \to \mathop{\mathrm{Spec}}(\mathbf{Z})$ are smooth.

Proof. Since $\mathcal{M}$ is an open substack of $\mathcal{C}\! \mathit{urves}^{lci+}$ this follows from Lemma 109.15.2. $\square$

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