Finite Symplectic Actions on the K3 Lattice

Details Finite Symplectic Actions on the K3 Lattice Finite Symplectic Actions on the K3 Lattice

2010-12-13

arxiv.org/abs/1012.2682v4

Mathematics

Algebraic Geometry

46 pages, minor revision

Scientific paper

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.

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