Kaledin’s degeneration theorem and topological Hochschild homology

Autor: Akhil Mathew
Rok vydání: 2020
Předmět:
Zdroj: Geom. Topol. 24, no. 6 (2020), 2675-2708
ISSN: 1364-0380
1465-3060
DOI: 10.2140/gt.2020.24.2675
Popis: 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 $p$.
Comment: 23 pages, revised version to appear in Geometry and Topology
Databáze: OpenAIRE