Affiliation:
1. Université Paris-Saclay , Gif-sur-Yvette , France
Abstract
Abstract
We introduce the notion of a 𝑝-Cartier smooth algebra.
It generalises that of a smooth algebra and includes valuation rings over a perfectoid base.
We give several characterisations of 𝑝-Cartier smoothness in terms of prismatic cohomology and deduce a comparison theorem between syntomic and étale cohomologies under this hypothesis.
Funder
H2020 European Research Council
Subject
Applied Mathematics,General Mathematics
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