Let $F$ be a quasi-coherent sheaf on a scheme $X$. Is there an example where cohomology groups of $F$ on small fppf site of $X$ and small etale site of $X$ are not isomorphic?

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    $\begingroup$ If the scheme is a "usual" scheme (quasi-compact, quasi-separated, etc.), then fppf cohomology, etale cohomology, and Zariski cohomology agree for all quasi-coherent sheaves. $\endgroup$ Dec 24, 2018 at 17:42


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