Generalized Shioda-Inose Structures on K3 Surfaces
Algebraic Geometry
2007-05-23 v1
Abstract
We examine the finite group actions on K3 and Abelian surfaces giving the same orbit space after desingularization. We show that when the group is not Z_2, then the Picard number of the K3 surface must be 19 or 20, and that in the latter case the Abelian surface is uniquely determined by the K3 surface.
Keywords
Cite
@article{arxiv.math/9809083,
title = {Generalized Shioda-Inose Structures on K3 Surfaces},
author = {H. Onsiper and S. Sertoz},
journal= {arXiv preprint arXiv:math/9809083},
year = {2007}
}
Comments
LaTeX 2.09, 5 pages, To appear in Manuscripta Math