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arXiv · 1810.09730

Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces

Nikon Kurnosov·Egor Yasinsky
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Abstract

We study groups of bimeromorphic and biholomorphic automorphisms of projective hyperkähler manifolds. Using an action of these groups on some non-positively curved space, we deduce many of their properties, including finite presentation, strong form of Tits' alternative and some structural results about groups consisting of transformations with infinite order.

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Nikon Kurnosov, Egor Yasinsky. 2019-01-28. Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces. https://arxiv.org/abs/1810.09730

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