Modularity of rigid Calabi-Yau threefolds over Q

Details Modularity of rigid Calabi-Yau threefolds over Q Modularity of rigid Calabi-Yau threefolds over Q

2003-04-27

arxiv.org/abs/math/0304434v2

Mathematics

Number Theory

to appear at: Proceedings of the Workshop on "Calabi-Yau Varieties and Mirror Symmetry", Fields Institute, Toronto, July 23-29

Scientific paper

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.

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