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

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

2004-02-14

arxiv.org/abs/math/0402241v4

Mathematics

Algebraic Geometry

Scientific paper

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.

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