Abstract
We formulate the modularity conjecture for rigid Calabi-Yau threefolds defined over the field $\mathbf{Q}$ of rational numbers. We establish the modularity for the rigid Calabi-Yau threefold arising from the root lattice $A_{3}$. Our proof is based on geometric analysis.
Citation
Masa-Hiko Saito. Noriko Yui. "The modularity conjecture for rigid Calabi-Yau threefolds over $\mathbf{Q}$." J. Math. Kyoto Univ. 41 (2) 403 - 419, 2001. https://doi.org/10.1215/kjm/1250517640
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