The inverse deformation problem
Rings and Algebras
2019-02-20 v2 Number Theory
Abstract
We show the inverse deformation problem has an affirmative answer: given a complete local noetherian ring with finite residue field , we show that there is a topologically finitely generated profinite group and an absolutely irreducible continuous representation such that is the universal deformation ring for .
Cite
@article{arxiv.1307.8356,
title = {The inverse deformation problem},
author = {Timothy Eardley and Jayanta Manoharmayum},
journal= {arXiv preprint arXiv:1307.8356},
year = {2019}
}
Comments
10 pages; statements corrected to exclude the case when the residual representation is $SL_3(\F_2)$