The Stacks project

Definition 57.18.1. Let $k$ be a field. Let $X$ and $Y$ be smooth projective schemes over $k$. We say $X$ and $Y$ are derived equivalent if there exists a $k$-linear exact equivalence $D_{perf}(\mathcal{O}_ X) \to D_{perf}(\mathcal{O}_ Y)$.

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View Definition 57.18.1 as pdf