%0 Journal Article
%T Geometry and Arithmetic of certain Double Octic Calabi-Yau Manifolds
%A S. Cynk
%A C. Meyer
%J Mathematics
%D 2003
%I arXiv
%X We study Calabi-Yau manifolds constructed as double covers of ${\mathbb P}^3$ branched along an octic surface. We give a list of 85 examples corresponding to arrangements of eight planes defined over ${\mathbb Q}$. The Hodge numbers are computed for all examples. There are 7 rigid Calabi-Yau manifolds and 14 families with $h^{1,2}=1$. The modularity conjecture is verified for all the rigid examples.
%U http://arxiv.org/abs/math/0304121v1