Automorphisms and examples of compact non-Kähler manifolds
DOI:
https://doi.org/10.7146/math.scand.a-25983Abstract
If $f$ is an automorphism of a compact simply connected Kähler manifold with trivial canonical bundle that fixes a Kähler class, then the order of $f$ is finite. We apply this well known result to construct compact non-Kähler manifolds. These manifolds contradict the abundance and Iitaka conjectures for complex manifolds.
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