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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 hyperk\"{a}hler 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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