Let $f:X \to Y$ be a finite morphism of schemes. Let $\mathcal{F}$ be a sheaf of abelian groups on the the etale site of $X$ then we know that $R^{i}f_{*} \mathcal{F} = 0$? Is this statement also true when $\mathcal{F}$ is sheaf of abelian groups on fppf site?
Vanishing of higher direct image of finite morphism
grok
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