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The modularity conjecture for rigid Calabi-Yau threefolds over Q · arXivDesk

math/0009041Sep 5, 200016 pages, latex, minor corrections. references added

The modularity conjecture for rigid Calabi-Yau threefolds over Q

Masa-Hiko Saito, Noriko Yui

Algebraic Geometry 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.

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