Geodesic
Geometry and Arithmetic of Certain Double Octic Calabi–Yau Manifolds
Canadian mathematical bulletin, Tome 48 (2005) no. 2, pp. 180-194

Voir la notice de l'article provenant de la source Cambridge University Press

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 ${{h}^{1,2}}\,=\,1.$ The modularity conjecture is verified for all the rigid examples.
DOI : 10.4153/CMB-2005-016-7
Mots-clés : 14G10, 14J32, Calabi–Yau, double coverings, modular forms 
Cynk, Sławomir; Meyer, Christian. Geometry and Arithmetic of Certain Double Octic Calabi–Yau Manifolds. Canadian mathematical bulletin, Tome 48 (2005) no. 2, pp. 180-194. doi: 10.4153/CMB-2005-016-7
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