Finite Symplectic Actions on the K3 Lattice
Algebraic Geometry
2013-02-08 v5
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 H^2(X,Z) induced by a symplectic action of G on X depends only on G up to isomorphism, except for five groups.
Cite
@article{arxiv.1012.2682,
title = {Finite Symplectic Actions on the K3 Lattice},
author = {Kenji Hashimoto},
journal= {arXiv preprint arXiv:1012.2682},
year = {2013}
}
Comments
46 pages. #13, #19, #25 and #37 in Table 10.2, and #62 in Table 10.3 were corrected