Automorphisms and examples of compact non K\"ahler manifolds
Algebraic Geometry
2012-11-30 v2
Abstract
If 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 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.
Keywords
Cite
@article{arxiv.1204.3165,
title = {Automorphisms and examples of compact non K\"ahler manifolds},
author = {Gunnar Þór Magnússon},
journal= {arXiv preprint arXiv:1204.3165},
year = {2012}
}
Comments
6 pages, added reference to the Ueno's book