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Automorphisms and examples of compact non-Kähler manifolds

Gunnar Þór Magnússon

Abstract


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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References


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DOI: http://dx.doi.org/10.7146/math.scand.a-25983

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