The modularity conjecture for rigid Calabi-Yau threefolds over Q

Details The modularity conjecture for rigid Calabi-Yau threefolds over Q The modularity conjecture for rigid Calabi-Yau threefolds over Q

2000-09-05

arxiv.org/abs/math/0009041v2

J. of Math. Kyoto Univ. 41-2 (2001), 403--419.

Mathematics

Algebraic Geometry

16 pages, latex, minor corrections. references added

Scientific paper

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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