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arXiv · 0707.0581

Compact Manifolds Covered by a Torus

Jean-Pierre Demailly·Jun-Muk Hwang·Thomas Peternell
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Abstract

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 étale cover, $X$ is a product of projective spaces and a torus.

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Jean-Pierre Demailly, Jun-Muk Hwang, Thomas Peternell. 2008-02-25. Compact Manifolds Covered by a Torus. https://arxiv.org/abs/0707.0581

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