Finite Symplectic Actions on the K3 Lattice

الأصل · EN

In this paper, we study finite symplectic actions on K3 surfaces X, i.e. actions of finite groups G on X which act on H²,⁰(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.