On the Breuil-Schneider conjecture II: Potentially crystalline non-generic case
Number Theory
2020-01-07 v2
Abstract
This paper improves some results of the author's previous work. We will investigate the case of non-smooth points on an automorphic components and prove Breuil-Schenider conjecture. As a consequence we will see that in case when all the components are automorphic in the potentially crystalline deformation rings, the Breuil-Schenider conjecture holds unconditionally.
Keywords
Cite
@article{arxiv.1911.10327,
title = {On the Breuil-Schneider conjecture II: Potentially crystalline non-generic case},
author = {Alexandre Pyvovarov},
journal= {arXiv preprint arXiv:1911.10327},
year = {2020}
}
Comments
30 pages. Mistake in the proof of Proposition 3.8