%0 Journal Article %T The Fano surface of the Fermat cubic threefold, the del Pezzo surface of degree 5 and a ball quotient %A Xavier Roulleau %J Mathematics %D 2010 %I arXiv %X We study the Fano surface S of the Fermat cubic threefold. We prove that S is a degree 81 abelian cover of the degree 5 del Pezzo surface and that the complement of the union of 12 disjoint elliptic curves on S is a ball quotient. The lattice of this ball quotient is related to the Deligne-Mostow lattice number 1. %U http://arxiv.org/abs/1001.5111v2