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arXiv · 2110.01638

On local Galois deformation rings

Gebhard Böckle·Ashwin Iyengar·Vytautas Paškūnas
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Abstract

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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Gebhard Böckle, Ashwin Iyengar, Vytautas Paškūnas. 2021-10-04. On local Galois deformation rings. https://doi.org/10.1017/fmp.2023.25

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