Cartier smoothness in prismatic cohomology
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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.