Elliptic fibrations and symplectic automorphisms on K3 surfaces
Algebraic Geometry
2009-02-23 v2
Abstract
Nikulin has classified all finite abelian groups acting symplectically on a K3 surface and he has shown that the induced action on the K3 lattice depends only on the group but not on the K3 surface. For all the groups in the list of Nikulin we compute the invariant sublattice and its orthogonal complement by using some special elliptic K3 surfaces.
Cite
@article{arxiv.0801.3992,
title = {Elliptic fibrations and symplectic automorphisms on K3 surfaces},
author = {Alice Garbagnati and Alessandra Sarti},
journal= {arXiv preprint arXiv:0801.3992},
year = {2009}
}
Comments
24 pages, 1 figure. To appear in Comm. in Algebra