The modularity conjecture for rigid Calabi-Yau threefolds over Q

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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

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Algebraic Geometry, Number Theory, 14J32,11F11, 11F80, 11G18, 14K30

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http://salesiana.dossiersoluciones.com/handle/123456789/59861

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0009041
 http://arxiv.org/abs/math/0009041
 J. of Math. Kyoto Univ. 41-2 (2001), 403--419.

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arXiv