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Tits alternative in hypekähler manifolds

Keiji Oguiso
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Abstract

We show an analogous result of the famous Tits alternative for a group G of birational automorphisms of a projective hyperkäher 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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Keiji Oguiso. 2005-04-25. Tits alternative in hypekähler manifolds. https://arxiv.org/abs/math/0504098

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