%0 Journal Article
%T The double cover of cubic surfaces branched along their Hessian
%A Atsushi Ikeda
%J Mathematics
%D 2010
%I arXiv
%X We prove the relation between the Hodge structure of the double cover of a nonsingular cubic surface branched along its Hessian and the Hodge structure of the triple cover of the ambient projective space branched along the cubic surface. And we introduce a method to study the infinitesimal variations of Hodge structure of the double cover of the cubic surface. Using these results, we compute the N\'{e}ron-Severi lattices for the double cover of a generic cubic surface and the Fermat cubic surface.
%U http://arxiv.org/abs/1012.4242v1