Rigid Calabi-Yau Threefolds over Q Are Modular
Number Theory
2010-08-31 v3 Algebraic Geometry
Abstract
The proof of Serre's conjecture on Galois representations over finite fields allows us to show, using a method due to Serre himself, that all rigid Calabi-Yau threefolds defined over Q are modular.
Cite
@article{arxiv.0902.1466,
title = {Rigid Calabi-Yau Threefolds over Q Are Modular},
author = {Fernando Q. Gouvea and Noriko Yui},
journal= {arXiv preprint arXiv:0902.1466},
year = {2010}
}
Comments
Final version to appear in Expositiones Mathematicae