Weak admissibility of exponentially twisted cohomology associated with some nondegenerate functions
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_ | 1866910888386101248 |
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| author | Liu, Peijiang |
| author_facet | Liu, Peijiang |
| contents | In this article, we study the filtered $Φ$-modules canonically attached to the exponentially twisted cohomology associated with some nondegenerate functions. Inspired by $p$-adic Hodge theory, we conjecture that those filtered $Φ$-modules are weakly admissible. We show that this expectation is correct under some assumptions using the theory of Adolphson and Sperber. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16881 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak admissibility of exponentially twisted cohomology associated with some nondegenerate functions Liu, Peijiang Algebraic Geometry In this article, we study the filtered $Φ$-modules canonically attached to the exponentially twisted cohomology associated with some nondegenerate functions. Inspired by $p$-adic Hodge theory, we conjecture that those filtered $Φ$-modules are weakly admissible. We show that this expectation is correct under some assumptions using the theory of Adolphson and Sperber. |
| title | Weak admissibility of exponentially twisted cohomology associated with some nondegenerate functions |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2503.16881 |