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Geometrically perfect DG modules are defined by a local condition on $\\operatorname{Spec} \\bar{A}$, where $\\bar{A} := \\operatorname{Spec} \\, \\operatorname{H}^0(A)$. Algebraically perfect DG modules are those that can be obtained from $A$ by finitely many shifts, direct summands and cones. 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