The Stacks project

Lemma 60.12.4. In Situation 60.7.5. For any affine object $(U, T, \delta )$ of $\text{Cris}(X/S)$ mapping into an affine open $V \subset S$ we have

\[ \Gamma ((U, T, \delta ), \Omega _{X/S}) = \Omega _{\Gamma (T, \mathcal{O}_ T)/\Gamma (V, \mathcal{O}_ V), \delta } \]

where the right hand side is as constructed in Section 60.6.

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