Abstract

The mod-$p$ Riemann–Hilbert correspondence (in covariant and contravariant forms) relates ${\mathbb{𝔽}}_p$-étale sheaves on the spectrum of an ${\mathbb{𝔽}}_p$-algebra $R$ and Frobenius modules over $R$. We give an exposition of these correspondences using Breen’s vanishing results on the perfect site.

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