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arXiv · 1708.07434

G-Valued Galois Deformation Rings when $\ell \neq p$

Jeremy Booher·Stefan Patrikis
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Abstract

For a smooth group scheme $G$ over an extension of $\mathbf{Z}_p$ such that the generic fiber of $G$ is reductive, we study the generic fiber of the Galois deformation ring for a $G$-valued mod $p$ representation of the absolute Galois group of a finite extension of $\mathbf{Q}_\ell$ with $\ell \neq p$. In particular, we show it admits a regular dense open locus, and that it is equidimensional of dimension $\dim G$.

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BibTeXRIS

Jeremy Booher, Stefan Patrikis. 2017-08-24. G-Valued Galois Deformation Rings when $\ell \neq p$. https://doi.org/10.4310/mrl.2019.v26.n4.a2

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