Cartier smoothness in prismatic cohomology

Published 29 Nov 2022 in math.AG, math.KT, and math.NT | (2211.16371v2)

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 \'etale cohomologies under this hypothesis.

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Tess Bouis

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