Geometry and Arithmetic of Certain Double Octic Calabi-Yau Manifolds

• Autores: Slawomir Cynk, Christian Meyer
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 48, Nº 2, 2005, págs. 180-194
• Idioma: inglés
• DOI: 10.4153/cmb-2005-016-7
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• Resumen

  • We study Calabi¿Yau manifolds constructed as double coverings of mathbb{P}3 branched along an octic surface. We give a list of 87 examples corresponding to arrangements of eight planes defined over mathbb{Q}. The Hodge numbers are computed for all examples. There are 10 rigid Calabi¿Yau manifolds and 14 families with h1,2 = 1. The modularity conjecture is verified for all the rigid examples.