Remark 48.30.5. Let $j : U \to X$ be an open immersion of Noetherian schemes. Sending $K \in D^ b_{\textit{Coh}}(\mathcal{O}_ U)$ to a Deligne system whose restriction to $U$ is $K$ determines a functor

which is “exact” by Lemma 48.30.4 and which is “left adjoint” to the functor $j^* : D^ b_{\textit{Coh}}(\mathcal{O}_ X) \to D^ b_{\textit{Coh}}(\mathcal{O}_ U)$ by Lemma 48.30.1.

## Comments (0)