Log prismatic $F$-crystals and realization functors
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916719203713024 |
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| author | Inoue, Kentaro |
| author_facet | Inoue, Kentaro |
| contents | Log prismatic cohomology theory developed by Koshikawa-Yao involves coefficient objects, called log prismatic $F$-crystals. In this paper, we construct and study realization functors from the category of log prismatic $F$-crystals to the category of coefficient objects of other $p$-adic cohomology theories, in the setting where boundary divisors may involve horizontal components. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01084 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Log prismatic $F$-crystals and realization functors Inoue, Kentaro Algebraic Geometry Number Theory Log prismatic cohomology theory developed by Koshikawa-Yao involves coefficient objects, called log prismatic $F$-crystals. In this paper, we construct and study realization functors from the category of log prismatic $F$-crystals to the category of coefficient objects of other $p$-adic cohomology theories, in the setting where boundary divisors may involve horizontal components. |
| title | Log prismatic $F$-crystals and realization functors |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2505.01084 |