Compact Manifolds Covered by a Torus
Algebraic Geometry
2008-02-25 v3
Abstract
Let be a connected compact complex manifold admitting a finite surjective map from a complex torus We prove that up to finite \'etale cover, is a product of projective spaces and a torus.
Cite
@article{arxiv.0707.0581,
title = {Compact Manifolds Covered by a Torus},
author = {Jean-Pierre Demailly and Jun-Muk Hwang and Thomas Peternell},
journal= {arXiv preprint arXiv:0707.0581},
year = {2008}
}
Comments
final version, to appear in Journal of Geometric Analysis