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Dévissage for periodic
cyclic homology of complete intersections
Michael K. Brown and Mark E. Walker |
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Vol. 9 (2024), No. 2, 341–367
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Abstract |
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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. |
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Keywords
complete intersection, dévissage, lattice conjecture,
periodic cyclic homology, topological K-theory
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Mathematical Subject Classification
Primary: 19D55
Secondary: 13D03, 13D09, 14F08
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Milestones
Received: 21 December 2023
Revised: 26 April 2024
Accepted: 12 May 2024
Published: 18 August 2024
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Authors |
| Michael K. Brown | |
| Department of Mathematics and
Statistics Auburn University Auburn, AL United States |
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| Mark E. Walker | |
| Department of Mathematics University of Nebraska-Lincoln Lincoln, NE United States |
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| © 2024 MSP (Mathematical Sciences Publishers). |
