The modularity conjecture for rigid Calabi-Yau threefolds over Q
arXiv:math/0009041
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 A_3. Our proof is based on geometric analysis.
16 pages, latex, minor corrections. references added