Automorphisms and examples of compact non-Kähler manifolds

• Autores: Gunnar Þór Magnússon
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 121, Nº 1, 2017, págs. 49-56
• Idioma: inglés
• DOI: 10.7146/math.scand.a-25983
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• Resumen

  • 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.