Logarithmic geometry and Frobenius, II
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909916026896384 |
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| author | Kato, Kazuya Nakayama, Chikara Usui, Sampei |
| author_facet | Kato, Kazuya Nakayama, Chikara Usui, Sampei |
| contents | Based on the strong analogy between the category of log mixed Hodge structures and the category ${\cal A}_X$ of $\ell$-adic nature, which we have introduced in the previous part and is closely related to the weight-monodromy conjecture, we prove the $\ell$-adic analogues of some theorems in Hodge theory related to the SL(2)-orbit theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17019 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Logarithmic geometry and Frobenius, II Kato, Kazuya Nakayama, Chikara Usui, Sampei Algebraic Geometry Primary 14A21, Secondary 14F06, 14G20 Based on the strong analogy between the category of log mixed Hodge structures and the category ${\cal A}_X$ of $\ell$-adic nature, which we have introduced in the previous part and is closely related to the weight-monodromy conjecture, we prove the $\ell$-adic analogues of some theorems in Hodge theory related to the SL(2)-orbit theorem. |
| title | Logarithmic geometry and Frobenius, II |
| topic | Algebraic Geometry Primary 14A21, Secondary 14F06, 14G20 |
| url | https://arxiv.org/abs/2511.17019 |