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arXiv · 1405.3232

Towards a classification of symplectic automorphisms on manifolds of $K3^{[n]}$ type

Giovanni Mongardi
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Abstract

The present paper is devoted to the classification of symplectic automorphisms of some hyperkähler manifolds. The results contained here are an explicit classification of prime order automorphisms on manifolds of $K3^{[n]}$ type and a proof that all finite groups of symplectic automorphisms of such manifolds are contained in Conway's group $Co_1$.

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Giovanni Mongardi. 2014-05-13. Towards a classification of symplectic automorphisms on manifolds of $K3^{[n]}$ type. https://arxiv.org/abs/1405.3232

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