## Tag `07MF`

Chapter 51: Crystalline Cohomology > Section 51.7: Divided power schemes

Situation 51.7.5. Here $p$ is a prime number and $(S, \mathcal{I}, \gamma)$ is a divided power scheme over $\mathbf{Z}_{(p)}$. We set $S_0 = V(\mathcal{I}) \subset S$. Finally, $X \to S_0$ is a morphism of schemes such that $p$ is locally nilpotent on $X$.

The code snippet corresponding to this tag is a part of the file `crystalline.tex` and is located in lines 1584–1590 (see updates for more information).

```
\begin{situation}
\label{situation-global}
Here $p$ is a prime number and $(S, \mathcal{I}, \gamma)$ is a divided power
scheme over $\mathbf{Z}_{(p)}$. We set $S_0 = V(\mathcal{I}) \subset S$.
Finally, $X \to S_0$ is a morphism of schemes such that $p$ is
locally nilpotent on $X$.
\end{situation}
```

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