The present paper proves that finite symplectic groups of automorphisms of \hk 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.

On symplectic automorphisms of Hyper-Kähler fourfolds of K3 [2] type

MONGARDI, GIOVANNI
2013

Abstract

The present paper proves that finite symplectic groups of automorphisms of \hk 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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/567882
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