Kaledin's degeneration theorem and topological Hochschild homology
K-Theory and Homology
2021-01-06 v3 Algebraic Geometry
Algebraic Topology
Abstract
We give a short proof of Kaledin's theorem on the degeneration of the noncommutative Hodge-to-de Rham spectral sequence. Our approach is based on topological Hochschild homology and the theory of cyclotomic spectra. As a consequence, we also obtain relative versions of the degeneration theorem, both in characteristic zero and for regular bases in characteristic .
Keywords
Cite
@article{arxiv.1710.09045,
title = {Kaledin's degeneration theorem and topological Hochschild homology},
author = {Akhil Mathew},
journal= {arXiv preprint arXiv:1710.09045},
year = {2021}
}
Comments
23 pages, revised version to appear in Geometry and Topology