D\'evissage for periodic cyclic homology of complete intersections
K-Theory and Homology
2024-08-21 v3 Algebraic Geometry
Abstract
We prove that the d\'evissage property holds for periodic cyclic homology for a local complete intersection embedding into a smooth scheme. As a consequence, we show that the complexified topological Chern character maps for the bounded derived category and singularity category of a local complete intersection are isomorphisms, proving new cases of the Lattice Conjecture in noncommutative Hodge theory.
Keywords
Cite
@article{arxiv.2307.14261,
title = {D\'evissage for periodic cyclic homology of complete intersections},
author = {Michael K. Brown and Mark E. Walker},
journal= {arXiv preprint arXiv:2307.14261},
year = {2024}
}
Comments
14 pages. To appear in Annals of K-theory