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Modularity of rigid Calabi-Yau threefolds over Q

Luis Dieulefait·Jayanta Manoharmayum
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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.

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Luis Dieulefait, Jayanta Manoharmayum. 2003-04-29. Modularity of rigid Calabi-Yau threefolds over Q. https://arxiv.org/abs/math/0304434

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