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Compact K\" ahler threefolds of $π_1$-general type

F. Campana·Q. Zhang
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Abstract

We classify these threefolds, which are the ones such that their universal cover is not compact and not covered by positive-dimensional compact analytic subsets. We show that these threefolds have nonnegative Kodaira dimension, and that their Iitaka-Moishezon fibrations are, after a suitable finite etale cover, bimeromorphic to a submersion with fibres complex tori, and base of general type and $π_1$-general type.

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F. Campana, Q. Zhang. 2004-05-14. Compact K\" ahler threefolds of $π_1$-general type. https://arxiv.org/abs/math/0402241

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