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arXiv:1112.5073 [math.AG]AbstractReferencesReviewsResources

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

Giovanni Mongardi

Published 2011-12-21, updated 2013-02-01Version 5

The present paper proves that finite symplectic groups of automorphisms of hyperk\"ahler 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.

Comments: Final version, to appear on Mich. Math. J
Journal: Michigan Math. J. vol. 62 no. 3 537-550 (2013)
Categories: math.AG
Subjects: 14J50, 11H56
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