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arXiv · 2306.01063

Topological cyclic homology of Cartier smooth rings

Hyungseop Kim
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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.

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Hyungseop Kim. 2023-06-01. Topological cyclic homology of Cartier smooth rings. https://arxiv.org/abs/2306.01063

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