On local Galois deformation rings
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866910565530599424 |
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| author | Böckle, Gebhard Iyengar, Ashwin Paškūnas, Vytautas |
| author_facet | Böckle, Gebhard Iyengar, Ashwin Paškūnas, Vytautas |
| contents | We show that framed deformation rings of mod $p$ representations of the absolute Galois group of a $p$-adic local field are complete intersections of expected dimension. We determine their irreducible components and show that they and their special fibres are normal and complete intersection. As an application we prove density results of loci with prescribed $p$-adic Hodge theoretic properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_01638 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On local Galois deformation rings Böckle, Gebhard Iyengar, Ashwin Paškūnas, Vytautas Number Theory Representation Theory We show that framed deformation rings of mod $p$ representations of the absolute Galois group of a $p$-adic local field are complete intersections of expected dimension. We determine their irreducible components and show that they and their special fibres are normal and complete intersection. As an application we prove density results of loci with prescribed $p$-adic Hodge theoretic properties. |
| title | On local Galois deformation rings |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2110.01638 |