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Oct 20, 2023 at 14:05 comment added R. van Dobben de Bruyn Re (1): perfect complexes are defined on any ringed space [Tag 08CL] or ringed topos [Tag 08G4]. For (2), I only know a reference [Tag 0DIA] in the setting of proper schemes over a complete local ring (and it's not explicitly about perfect complexes, only pseudo-coherent). But I'm far from an expert, so I hope someone else can say more.
Oct 20, 2023 at 7:21 history edited Fredy CC BY-SA 4.0
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Oct 20, 2023 at 7:10 history asked Fredy CC BY-SA 4.0