On the Beilinson fiber square
K-Theory and Homology
2021-10-01 v2 Algebraic Geometry
Abstract
Using topological cyclic homology, we give a refinement of Beilinson's -adic Goodwillie isomorphism between relative continuous -theory and cyclic homology. As a result, we generalize results of Bloch-Esnault-Kerz and Beilinson on the -adic deformations of -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.
Cite
@article{arxiv.2003.12541,
title = {On the Beilinson fiber square},
author = {Benjamin Antieau and Akhil Mathew and Matthew Morrow and Thomas Nikolaus},
journal= {arXiv preprint arXiv:2003.12541},
year = {2021}
}
Comments
many minor updates based on referee reports; new, simplified proof of integral comparison theorem for syntomic cohomology