Lemma 36.33.1. Let $R$ be a coherent ring. Let $X$ be a scheme of finite presentation over $R$. Let $\mathcal{G}$ be an $\mathcal{O}_ X$-module of finite presentation, flat over $R$, with support proper over $R$. Then $H^ i(X, \mathcal{G})$ is a coherent $R$-module.

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