Lemma 107.22.6. The morphisms $\overline{\mathcal{M}} \to \mathop{\mathrm{Spec}}(\mathbf{Z})$ and $\overline{\mathcal{M}}_ g \to \mathop{\mathrm{Spec}}(\mathbf{Z})$ are smooth.

**Proof.**
Since $\overline{\mathcal{M}}$ is an open substack of $\mathcal{C}\! \mathit{urves}^{nodal}$ this follows from Lemma 107.18.2.
$\square$

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