A Local-Global Study of Obstructed Deformation Problems -- I
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918306183643136 |
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| author | Bingol, Bartu |
| author_facet | Bingol, Bartu |
| contents | We study obstructed deformation problems for two-dimensional residual Galois representations arising from weight~$2$ newforms of level~$N$. Using Poitou-Tate duality, we isolate local and global sources of obstructions and give concrete criteria for when they occur. In several cases we also describe the resulting universal deformation ring explicitly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01414 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Local-Global Study of Obstructed Deformation Problems -- I Bingol, Bartu Number Theory We study obstructed deformation problems for two-dimensional residual Galois representations arising from weight~$2$ newforms of level~$N$. Using Poitou-Tate duality, we isolate local and global sources of obstructions and give concrete criteria for when they occur. In several cases we also describe the resulting universal deformation ring explicitly. |
| title | A Local-Global Study of Obstructed Deformation Problems -- I |
| topic | Number Theory |
| url | https://arxiv.org/abs/2404.01414 |