Overconvergence of étale $(φ,Γ)$-modules in families
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866929400775180288 |
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| author | Porat, Gal |
| author_facet | Porat, Gal |
| contents | We prove a conjecture of Emerton, Gee and Hellmann concerning the overconvergence of étale $(φ,Γ)$-modules in families parametrized by topologically finite type $\mathbb{Z}_{p}$-algebras. As a consequence, we deduce the existence of a natural map from the rigid fiber of the Emerton-Gee stack to the rigid analytic stack of $(φ,Γ)$-modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_05050 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Overconvergence of étale $(φ,Γ)$-modules in families Porat, Gal Number Theory We prove a conjecture of Emerton, Gee and Hellmann concerning the overconvergence of étale $(φ,Γ)$-modules in families parametrized by topologically finite type $\mathbb{Z}_{p}$-algebras. As a consequence, we deduce the existence of a natural map from the rigid fiber of the Emerton-Gee stack to the rigid analytic stack of $(φ,Γ)$-modules. |
| title | Overconvergence of étale $(φ,Γ)$-modules in families |
| topic | Number Theory |
| url | https://arxiv.org/abs/2209.05050 |