Companion points on the eigenvariety with non-regular weights
Number Theory
2021-09-01 v1
Abstract
We prove the existence of all companion points on the eigenvariety of definite unitary groups associated with generic crystalline Galois representations with possibly non-regular weights under the Taylor-Wiles hypothesis, based on the previous results of Breuil-Hellmann-Schraen in arXiv:1702.02192 in regular cases and the author in arXiv:2103.03823 in non-regular cases.
Cite
@article{arxiv.2108.13879,
title = {Companion points on the eigenvariety with non-regular weights},
author = {Zhixiang Wu},
journal= {arXiv preprint arXiv:2108.13879},
year = {2021}
}
Comments
15 pages