The modularity conjecture for rigid Calabi-Yau threefolds over Q
Masa-Hiko Saito, Noriko Yui
Abstract
We formulate the modularity conjecture for rigid Calabi-Yau threefolds defined over the field Q of rational numbers. We establish the modularity for the rigid Calabi-Yau threefold arising from the root lattice A3. Our proof is based on geometric analysis.
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