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arXiv · 2307.14261

D\'evissage for periodic cyclic homology of complete intersections

Michael K. Brown·Mark E. Walker
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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.

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Michael K. Brown, Mark E. Walker. 2023-07-26. D\'evissage for periodic cyclic homology of complete intersections. https://doi.org/10.2140/akt.2024.9.341

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