On $ψ$-lattices in modular $(φ,Γ)$-modules
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929359961456640 |
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| author | Große-Klönne, Elmar |
| author_facet | Große-Klönne, Elmar |
| contents | Let $F/{\mathbb Q}_p$ be a finite field extension, let $k$ be a finite field extension of the residue field of $F$. Generalizing the $ψ$-lattices which Colmez constructed in étale $(φ,Γ)$-modules over $k[[t]][t^{-1}]$, we define, study and exemplify $ψ$-lattices in étale $(φ,Γ)$-modules over $k[[t_1,\ldots,t_d]][\prod_it_i^{-1}]$ for arbitrary $d\in{\mathbb N}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17118 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On $ψ$-lattices in modular $(φ,Γ)$-modules Große-Klönne, Elmar Number Theory 11F80 Let $F/{\mathbb Q}_p$ be a finite field extension, let $k$ be a finite field extension of the residue field of $F$. Generalizing the $ψ$-lattices which Colmez constructed in étale $(φ,Γ)$-modules over $k[[t]][t^{-1}]$, we define, study and exemplify $ψ$-lattices in étale $(φ,Γ)$-modules over $k[[t_1,\ldots,t_d]][\prod_it_i^{-1}]$ for arbitrary $d\in{\mathbb N}$. |
| title | On $ψ$-lattices in modular $(φ,Γ)$-modules |
| topic | Number Theory 11F80 |
| url | https://arxiv.org/abs/2405.17118 |