Download this article
Download this article For screen
For printing
Recent Issues
Volume 9, Issue 4
Volume 9, Issue 3
Volume 9, Issue 2
Volume 9, Issue 1
Volume 8, Issue 4
Volume 8, Issue 3
Volume 8, Issue 2
Volume 8, Issue 1
Volume 7, Issue 4
Volume 7, Issue 3
Volume 7, Issue 2
Volume 7, Issue 1
Volume 6, Issue 4
Volume 6, Issue 3
Volume 6, Issue 2
Volume 6, Issue 1
Volume 5, Issue 4
Volume 5, Issue 3
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 4
Volume 4, Issue 3
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 4
Volume 2, Issue 3
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 4
Volume 1, Issue 3
Volume 1, Issue 2
Volume 1, Issue 1
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN 2379-1691 (online)
ISSN 2379-1683 (print)
 
Author index
To appear
 
Other MSP journals
Dévissage for periodic cyclic homology of complete intersections

Michael K. Brown and Mark E. Walker
Vol. 9 (2024), No. 2, 341–367
DOI: 10.2140/akt.2024.9.341
Abstract

We prove that the dévissage 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
complete intersection, dévissage, lattice conjecture, periodic cyclic homology, topological K-theory
Mathematical Subject Classification
Primary: 19D55
Secondary: 13D03, 13D09, 14F08
Milestones
Received: 21 December 2023
Revised: 26 April 2024
Accepted: 12 May 2024
Published: 18 August 2024
Authors
Michael K. Brown
Department of Mathematics and Statistics
Auburn University
Auburn, AL
United States
Mark E. Walker
Department of Mathematics
University of Nebraska-Lincoln
Lincoln, NE
United States
© 2024 MSP (Mathematical Sciences Publishers).