The modularity conjecture for rigid Calabi-Yau threefolds over Q
Algebraic Geometry
2007-05-23 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.math/0009041,
title = {The modularity conjecture for rigid Calabi-Yau threefolds over Q},
author = {Masa-Hiko Saito and Noriko Yui},
journal= {arXiv preprint arXiv:math/0009041},
year = {2007}
}
Comments
16 pages, latex, minor corrections. references added