The Stacks project

Lemma 99.14.13. The stack in groupoids $\mathcal{P}\! \mathit{olarized}$ satisfies openness of versality over $\mathop{\mathrm{Spec}}(\mathbf{Z})$. Similarly, after base change (Remark 99.14.5) openness of versality holds over any Noetherian base scheme $S$.

Proof. This follows from Artin's Axioms, Lemma 98.20.3 and Lemmas 99.14.7, 99.14.9, 99.14.8, and 99.14.11. For the “usual” proof of this fact, please see the discussion in the remark following this proof. $\square$

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