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arXiv · 1204.3165

Automorphisms and examples of compact non K\"ahler manifolds

Gunnar Þór Magnússon
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Abstract

If $f$ is an automorphism of a compact simply connected K\"ahler manifold with trivial canonical bundle that fixes a K\"ahler class, then the order of $f$ is finite. We apply this well known result to construct compact non-K\"ahler manifolds. These manifolds contradict the abundance and Iitaka conjectures for complex manifolds.

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Gunnar Þór Magnússon. 2012-04-14. Automorphisms and examples of compact non K\"ahler manifolds. https://arxiv.org/abs/1204.3165

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