Abstract
Let be a compact Kähler manifold of dimension three. We prove that there exists a projective manifold such that . We also prove the bimeromorphic existence of algebraic approximations for compact Kähler manifolds of algebraic dimension . Together with the work of Graf and the third author, this settles in particular the bimeromorphic Kodaira problem for compact Kähler threefolds.
Citation
Benoît Claudon. Andreas Höring. Hsueh-Yung Lin. "The fundamental group of compact Kähler threefolds." Geom. Topol. 23 (7) 3233 - 3271, 2019. https://doi.org/10.2140/gt.2019.23.3233
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