Compact Manifolds Covered by a Torus

Details Compact Manifolds Covered by a Torus Compact Manifolds Covered by a Torus

2007-07-04

arxiv.org/abs/0707.0581v3

Mathematics

Algebraic Geometry

final version, to appear in Journal of Geometric Analysis

Scientific paper

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.

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