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.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call