Tits alternative in hypekähler manifolds

Details Tits alternative in hypekähler manifolds Tits alternative in hypekähler manifolds

2005-04-06

arxiv.org/abs/math/0504098v2

Mathematics

Algebraic Geometry

9pages; all the previous results have been generalized and accordingto this the title has been changed

Scientific paper

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.

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