Compact Manifolds Covered by a Torus
classification
🧮 math.AG
keywords
toruscompactcomplexfiniteadmittingconnectedcovercovered
read the original 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 \'etale cover, $X$ is a product of projective spaces and a torus.
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