Tits alternative in hypek\"ahler manifolds
Algebraic Geometry
2007-05-23 v2
Abstract
We show an analogous result of the famous Tits alternative for a group G of birational automorphisms of a projective hyperk\"aher manifold: Either G contains a non-commutative free group or G is an almost abelian group of finite rank. As an application, we show that the automorphism groups of the so-called singular K3 surfaces contain non-commutative free groups.
Keywords
Cite
@article{arxiv.math/0504098,
title = {Tits alternative in hypek\"ahler manifolds},
author = {Keiji Oguiso},
journal= {arXiv preprint arXiv:math/0504098},
year = {2007}
}
Comments
9pages; all the previous results have been generalized and accordingto this the title has been changed