Dévissage for periodic cyclic homology of complete intersections
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913472619479040 |
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| author | Brown, Michael K. Walker, Mark E. |
| author_facet | Brown, Michael K. Walker, Mark E. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_14261 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dévissage for periodic cyclic homology of complete intersections Brown, Michael K. Walker, Mark E. K-Theory and Homology Algebraic Geometry 13D03, 13D09, 14F08, 19D55 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. |
| title | Dévissage for periodic cyclic homology of complete intersections |
| topic | K-Theory and Homology Algebraic Geometry 13D03, 13D09, 14F08, 19D55 |
| url | https://arxiv.org/abs/2307.14261 |