Modularity of rigid Calabi-Yau threefolds over Q

Abstract

We prove modularity for a huge class of rigid Calabi-Yau threefolds over $\Q$. In particular we prove that every rigid Calabi-Yau threefold with good reduction at 3 and 7 is modular.

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

Cited by in corpus (6)

• On the modularity of Calabi-Yau threefolds containing elliptic ruled surfaces
• From potential modularity to modularity for integral Galois representations and rigid Calabi-Yau threefolds
• New examples of modular rigid Calabi-Yau threefolds
• On modularity of rigid and nonrigid Calabi-Yau varieties associated to the root lattice A_4
• On the modularity of three Calabi-Yau threefolds with bad reduction at 11
• Computing the level of a modular rigid Calabi-Yau threefold