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

F. Campana, Q. Zhang

Published 2004-02-14, updated 2004-05-14Version 4

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 $\pi_1$-general type.