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Finite Symplectic Actions on the K3 Lattice

Published 13 Dec 2010 in math.AG | (1012.2682v5)

Abstract: 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 H2(X,Z) induced by a symplectic action of G on X depends only on G up to isomorphism, except for five groups.

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