K3-surfaces with special symmetry: An example of classification by Mori-reduction
arXiv:0802.2481
Abstract
The classification problem for K3-surfaces equipped with finite groups of symplectic symmetry centralized by an antisymplectic involution is considered. An approach via equivariant Mori-reduction is employed. This method, which has proved to be successful even for rather small groups, is exemplified here by giving a complete classification in the case . The consideration of this particular group is related to the study of K3-surfaces with maximal finite groups of symplectic automorphisms. Applications to the case are given.
14 pages