On the Eigencurve at classical weight one points
Number Theory
2016-02-10 v2
Abstract
We show that the p-adic Eigencurve is smooth at classical weight one points which are regular at p and give a precise criterion for etaleness over the weight space at those points. Our approach uses deformations of Galois representations.
Keywords
Cite
@article{arxiv.1301.0712,
title = {On the Eigencurve at classical weight one points},
author = {Joël Bellaïche and Mladen Dimitrov},
journal= {arXiv preprint arXiv:1301.0712},
year = {2016}
}
Comments
22 pages (revised version)