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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.14615 |
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| _version_ | 1866917935688187904 |
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| author | Paškūnas, Vytautas Quast, Julian |
| author_facet | Paškūnas, Vytautas Quast, Julian |
| contents | We study deformation theory of mod $p$ Galois representations of $p$-adic fields with values in generalised tori, such as $L$-groups of (possibly non-split) tori. We show that the corresponding deformation rings are formally smooth over a group algebra of a finite abelian $p$-group. We compute their dimension and the set of irreducible components. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14615 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On local Galois deformation rings: generalised tori Paškūnas, Vytautas Quast, Julian Number Theory We study deformation theory of mod $p$ Galois representations of $p$-adic fields with values in generalised tori, such as $L$-groups of (possibly non-split) tori. We show that the corresponding deformation rings are formally smooth over a group algebra of a finite abelian $p$-group. We compute their dimension and the set of irreducible components. |
| title | On local Galois deformation rings: generalised tori |
| topic | Number Theory |
| url | https://arxiv.org/abs/2404.14615 |