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Topological cyclic homology of Cartier smooth rings (2306.01063v2)
Published 1 Jun 2023 in math.KT and math.AG
Abstract: We study algebraic K-theory, syntomic cohomology, and prismatic cohomology of Cartier smooth rings. As an application, we provide an alternative proof of Kelly-Morrow's generalization of the Geisser-Levine theorem computing $p$-adic algebraic K-theory of Cartier smooth local rings; our approach relies on the description of topological cyclic homology through the motivic filtration.