Filtrations and cohomology I: crystallization
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909884263432192 |
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| author | Antieau, Benjamin |
| author_facet | Antieau, Benjamin |
| contents | We compare several different notions of filtered derived commutative ring, discussing HKR-filtered Hochschild homology, Hodge-filtered de Rham cohomology, and the lesser-known Hodge-filtered infinitesimal cohomology. Our main result is that de Rham cohomology is the crystallization of infinitesimal cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01567 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Filtrations and cohomology I: crystallization Antieau, Benjamin Algebraic Geometry Algebraic Topology We compare several different notions of filtered derived commutative ring, discussing HKR-filtered Hochschild homology, Hodge-filtered de Rham cohomology, and the lesser-known Hodge-filtered infinitesimal cohomology. Our main result is that de Rham cohomology is the crystallization of infinitesimal cohomology. |
| title | Filtrations and cohomology I: crystallization |
| topic | Algebraic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/2511.01567 |