Modularity of rigid Calabi-Yau threefolds over Q
Number Theory
2007-05-23 v2
Abstract
We prove modularity for a huge class of rigid Calabi-Yau threefolds over . In particular we prove that every rigid Calabi-Yau threefold with good reduction at 3 and 7 is modular.
Cite
@article{arxiv.math/0304434,
title = {Modularity of rigid Calabi-Yau threefolds over Q},
author = {Luis Dieulefait and Jayanta Manoharmayum},
journal= {arXiv preprint arXiv:math/0304434},
year = {2007}
}
Comments
to appear at: Proceedings of the Workshop on "Calabi-Yau Varieties and Mirror Symmetry", Fields Institute, Toronto, July 23-29, 2001 ; Fields Inst. Comm. Series, AMS