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Jul 3, 2022 at 21:37 comment added Z. M I am not sure how you view six functors, but $D_Z(X)\to D(X)\to D(X\setminus Z)$ is a split Verdier sequence when, say, the ideal sheaf of $Z$ is finitely generated.
Jun 7, 2022 at 18:05 comment added Pulcinella @LeoAlonso Thanks, I wasn't thinking- edited that bit out! All I meant is that you cannot use this six functor definition as far as I know.
Jun 7, 2022 at 18:05 history edited Pulcinella CC BY-SA 4.0
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Jun 7, 2022 at 14:25 comment added Leo Alonso But local cohomology does exist in the quasi-coherent context.
Jun 7, 2022 at 14:01 history answered Pulcinella CC BY-SA 4.0