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arXiv · 2211.16371

Cartier smoothness in prismatic cohomology

Tess Bouis
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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. 2022-11-29. Cartier smoothness in prismatic cohomology. https://arxiv.org/abs/2211.16371

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