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I am looking for a reference which is equivalent to this stacks project page [1], except formulated in the generality of an arbitrary site. I checked the "Cohomology on Sites" section of the stacks project and couldn't find it there. I also couldn't find it in EGA or SGA, but my knowledge of these references is far from perfect.

  1. https://stacks.math.columbia.edu/tag/01FP
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  • $\begingroup$ Have looked at SGA4 exposé V and Vbis? That's pretty general. $\endgroup$
    – Donu Arapura
    Sep 19, 2022 at 13:20
  • $\begingroup$ I have, but it seems to me that only the Cech cohomology of a single sheaf is considered in SGA4 exposé V and Vbis, and not a complex of such. But I could be wrong. $\endgroup$
    – David Urbanik
    Sep 19, 2022 at 14:09

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