Abstract
Using topological cyclic homology, we give a refinement of Beilinson’s p-adic Goodwillie isomorphism between relative continuous K-theory and cyclic homology. As a result, we generalize results of Bloch–Esnault–Kerz and Beilinson on the p-adic deformations of K-theory classes. Furthermore, we prove structural results for the Bhatt–Morrow–Scholze filtration on and identify the graded pieces with the syntomic cohomology of Fontaine–Messing.
Citation
Benjamin Antieau. Akhil Mathew. Matthew Morrow. Thomas Nikolaus. "On the Beilinson fiber square." Duke Math. J. 171 (18) 3707 - 3806, 1 December 2022. https://doi.org/10.1215/00127094-2022-0037
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