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The Stacks project

Definition 21.17.13. Let (\mathcal{C}, \mathcal{O}) be a ringed site. Let \mathcal{F}^\bullet be an object of D(\mathcal{O}). The derived tensor product

- \otimes _\mathcal {O}^{\mathbf{L}} \mathcal{F}^\bullet : D(\mathcal{O}) \longrightarrow D(\mathcal{O})

is the exact functor of triangulated categories described above.

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