Improvements on Dieulefait-Manoharmayum and applications
Number Theory
2007-05-23 v1
Abstract
We improve the results in a previous article of Dieulefait and Manoharmayum and we deduce some stronger modularity results. In particular we deduce that any rigid Calabi-Yau threefold defined over Q with good reduction at 5 is modular and we also obtain a fairly general version of the principle of "switching the residual characteristic" used in proofs of cases of Serre's conjecture.
Keywords
Cite
@article{arxiv.math/0508163,
title = {Improvements on Dieulefait-Manoharmayum and applications},
author = {Luis V. Dieulefait},
journal= {arXiv preprint arXiv:math/0508163},
year = {2007}
}