Rigid Calabi-Yau Threefolds over Q Are Modular

Mathematics – Number Theory

Scientific paper

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Final version to appear in Expositiones Mathematicae

Scientific paper

The proof of Serre's conjecture on Galois representations over finite fields
allows us to show, using a method due to Serre himself, that all rigid
Calabi-Yau threefolds defined over Q are modular.

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