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.
Mongardi, G. (2013). On symplectic automorphisms of Hyper-Kähler fourfolds of K3 [2] type. MICHIGAN MATHEMATICAL JOURNAL, 62(3), 537-550 [10.1307/mmj/1378757887].
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.File in questo prodotto:
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