math/0304434Apr 27, 2003to 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
Modularity of rigid Calabi-Yau threefolds over Q
Luis Dieulefait, Jayanta Manoharmayum
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.