The mod $p$ Riemann-Hilbert correspondence and the perfect site

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.

26 pages; revised version to appear in Tunisian Journal of Mathematics

References in corpus (2)

• Submersions and effective descent of etale morphisms
• Hyperdescent and étale K-theory