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arXiv · 1112.5073

On symplectic automorphisms of hyperkähler fourfolds of K3^[2] type

Giovanni Mongardi
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Abstract

The present paper proves that finite symplectic groups of automorphisms of hyperkähler fourfolds deformation equivalent to the Hilbert scheme of two points on a $K3$ surface are contained in the simple group $Co_1$. Then we give an example of a symplectic automorphism of order 11 on the Fano scheme of lines of a cubic fourfold.

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Giovanni Mongardi. 2013-02-01. On symplectic automorphisms of hyperkähler fourfolds of K3^[2] type. https://doi.org/10.1307/mmj/1378757887

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