Semi-continuity for conductor divisors of étale sheaves
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910830929379328 |
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| author | Hu, Haoyu Teyssier, Jean-Baptiste |
| author_facet | Hu, Haoyu Teyssier, Jean-Baptiste |
| contents | In this article, we prove a semi-continuity property for both conductor divisors and logarithmic conductor divisors for étale sheaves on higher relative dimensions in a geometric situation. It generalizes a semi-continuity result for conductors of étale sheaves on relative curves to higher relative dimensions, and it can be considered as a higher dimensional $\ell$-adic analogy of André's result on the semi-continuity of Poincaré-Katz ranks of meromorphic connections on smooth relative curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11063 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semi-continuity for conductor divisors of étale sheaves Hu, Haoyu Teyssier, Jean-Baptiste Algebraic Geometry Number Theory In this article, we prove a semi-continuity property for both conductor divisors and logarithmic conductor divisors for étale sheaves on higher relative dimensions in a geometric situation. It generalizes a semi-continuity result for conductors of étale sheaves on relative curves to higher relative dimensions, and it can be considered as a higher dimensional $\ell$-adic analogy of André's result on the semi-continuity of Poincaré-Katz ranks of meromorphic connections on smooth relative curves. |
| title | Semi-continuity for conductor divisors of étale sheaves |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2502.11063 |