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arXiv · 1609.08570

Potentially semi-stable deformations of specified Hodge-Tate type and Galois type

Yong Suk Moon
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Abstract

Let $k$ be a perfect field of characteristic $p > 2$, and let $K$ be a finite totally ramified extension of $W(k)[\frac{1}{p}]$. We prove that the locus of potentially semi-stable $\mathrm{Gal}(\bar{K}/K)$-representations of a given Hodge-Tate type and Galois type is a closed subspace of the universal deformation ring, generalizing the result of Kisin (2007) where $k$ is assumed to be finite.

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Yong Suk Moon. 2016-09-27. Potentially semi-stable deformations of specified Hodge-Tate type and Galois type. https://doi.org/10.1016/j.jnt.2017.05.018

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