Tits alternative in hypekähler manifolds

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

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Algebraic Geometry, 14J28, 14J50, 20E05

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http://salesiana.dossiersoluciones.com/handle/123456789/74804

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504098
 http://arxiv.org/abs/math/0504098

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arXiv