Deformation conditions for pseudorepresentations
Number Theory
2019-12-04 v3
Abstract
Given a property of representations satisfying a basic stability condition, Ramakrishna developed a variant of Mazur's Galois deformation theory for representations with that property. We introduce an axiomatic definition of pseudorepresentations with such a property. Among other things, we show that pseudorepresentations with a property enjoy a good deformation theory, generalizing Ramakrishna's theory to pseudorepresentations.
Cite
@article{arxiv.1707.01896,
title = {Deformation conditions for pseudorepresentations},
author = {Preston Wake and Carl Wang-Erickson},
journal= {arXiv preprint arXiv:1707.01896},
year = {2019}
}
Comments
To appear in Forum of Mathematics, Sigma. 33 pages