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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.22314 |
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| _version_ | 1866914196358168576 |
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| author | Fernando, Ravi |
| author_facet | Fernando, Ravi |
| contents | The saturated de Rham-Witt complex, introduced by Bhatt-Lurie-Mathew in arXiv:1805.05501, is a variant of the classical de Rham-Witt complex which is expected to behave better for singular schemes. We provide partial justification for this expectation by showing that the saturated de Rham-Witt complex satisfies a dimensional vanishing property even in the presence of singularities. This is stronger than the vanishing properties of the classical de Rham-Witt complex, crystalline cohomology, or de Rham cohomology, and is instead comparable to étale cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22314 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dimensional vanishing of the saturated de Rham-Witt complex Fernando, Ravi Algebraic Geometry 14F30 The saturated de Rham-Witt complex, introduced by Bhatt-Lurie-Mathew in arXiv:1805.05501, is a variant of the classical de Rham-Witt complex which is expected to behave better for singular schemes. We provide partial justification for this expectation by showing that the saturated de Rham-Witt complex satisfies a dimensional vanishing property even in the presence of singularities. This is stronger than the vanishing properties of the classical de Rham-Witt complex, crystalline cohomology, or de Rham cohomology, and is instead comparable to étale cohomology. |
| title | Dimensional vanishing of the saturated de Rham-Witt complex |
| topic | Algebraic Geometry 14F30 |
| url | https://arxiv.org/abs/2507.22314 |