The Stacks project

18.19.2.1
\begin{equation} \label{sites-modules-equation-map-lower-shriek-OU-into-module} \mathop{\mathrm{Hom}}\nolimits _\mathcal {O}(j_{U!}\mathcal{O}_ U, \mathcal{F}) = \mathop{\mathrm{Hom}}\nolimits _{\mathcal{O}_ U}(\mathcal{O}_ U, j_ U^*\mathcal{F}) = \mathcal{F}(U) \end{equation}

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