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arXiv · 2205.11657

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

Akhil Mathew
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Abstract

The mod $p$ Riemann-Hilbert correspondence (in covariant and contravariant forms) relates $\mathbb{F}_p$-\'etale 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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Akhil Mathew. 2022-05-23. The mod $p$ Riemann-Hilbert correspondence and the perfect site. https://doi.org/10.2140/tunis.2023.5.369

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