p-adic Hodge theory of de Rham local systems, I: Newton polygon and monodromy
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917383084441600 |
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| author | Du, Heng |
| author_facet | Du, Heng |
| contents | We prove that the relative p-adic monodromy theorem holds over a dense open subset. Moreover, we establish the equivalence of the following two statements: the local constancy of the Newton polygon function associated with a de Rham local system around rank-1 points, and the relative p-adic monodromy theorem near rank-1 points. We demonstrate how to extend the relative p-adic monodromy conjecture from the neighborhood of rank-1 points to the entire interiors of Newton partitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03220 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | p-adic Hodge theory of de Rham local systems, I: Newton polygon and monodromy Du, Heng Number Theory Algebraic Geometry We prove that the relative p-adic monodromy theorem holds over a dense open subset. Moreover, we establish the equivalence of the following two statements: the local constancy of the Newton polygon function associated with a de Rham local system around rank-1 points, and the relative p-adic monodromy theorem near rank-1 points. We demonstrate how to extend the relative p-adic monodromy conjecture from the neighborhood of rank-1 points to the entire interiors of Newton partitions. |
| title | p-adic Hodge theory of de Rham local systems, I: Newton polygon and monodromy |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2604.03220 |