On local Galois deformation rings
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 appl...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
26 October 2023
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| In: |
Forum of mathematics. Pi
Year: 2023, Volume: 11, Pages: 1-54 |
| ISSN: | 2050-5086 |
| DOI: | 10.1017/fmp.2023.25 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1017/fmp.2023.25 Verlag, lizenzpflichtig, Volltext: https://www.cambridge.org/core/journals/forum-of-mathematics-pi/article/on-local-galois-deformation-rings/24192052AB575F076F7D40B4AFF4862E 
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| Author Notes: | Gebhard Böckle, Ashwin Iyengar and Vytautas Paškūnas |
| Summary: | 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. |
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| Item Description: | Gesehen am 11.03.2024 |
| Physical Description: | Online Resource |
| ISSN: | 2050-5086 |
| DOI: | 10.1017/fmp.2023.25 |