Compact K\" ahler threefolds of $\pi_1$-general type
Algebraic Geometry
2007-05-23 v4
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 -general type.
Keywords
Cite
@article{arxiv.math/0402241,
title = {Compact K\" ahler threefolds of $\pi_1$-general type},
author = {F. Campana and Q. Zhang},
journal= {arXiv preprint arXiv:math/0402241},
year = {2007}
}