Automorphisms and examples of compact non K\'ahler manifolds

Autor:	Magnússon, Gunnar Þór
Rok vydání:	2012
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 6 pages, added reference to the Ueno's book
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1204.3165 Zobrazit plný text záznamu View this record from Arxiv