%0 Journal Article %T Compact Manifolds Covered by a Torus %A Jean-Pierre Demailly %A Jun-Muk Hwang %A Thomas Peternell %J Mathematics %D 2007 %I arXiv %X Let $X$ be a connected compact complex manifold admitting a finite surjective map $A \to X$ from a complex torus $A.$ We prove that up to finite \'etale cover, $X$ is a product of projective spaces and a torus. %U http://arxiv.org/abs/0707.0581v3