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arXiv:1012.2682 [math.AG]AbstractReferencesReviewsResources

Finite Symplectic Actions on the K3 Lattice

Kenji Hashimoto

Published 2010-12-13, updated 2013-02-07Version 5

In this paper, we study finite symplectic actions on K3 surfaces X, i.e. actions of finite groups G on X which act on H^{2,0}(X) trivially. We show that the action on the K3 lattice H^2(X,Z) induced by a symplectic action of G on X depends only on G up to isomorphism, except for five groups.

Comments: 46 pages. #13, #19, #25 and #37 in Table 10.2, and #62 in Table 10.3 were corrected
Categories: math.AG
Subjects: 14J28, 11H56
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