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Compact Kähler threefolds of \(\pi_1\)-general type. (English) Zbl 1216.32011
Kachi, Yasuyuki (ed.) et al., Recent progress in arithmetic and algebraic geometry. Proceedings of the 31st annual Barrett lecture series conference, Knoxville, TN, USA, April 25–27, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3401-0/pbk). Contemporary Mathematics 386, 1-12 (2005).
Summary: 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.
For the entire collection see [Zbl 1078.14002].

MSC:
32J17 Compact complex \(3\)-folds
32Q57 Classification theorems for complex manifolds
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