Generalized Shioda-Inose Structures on K3 Surfaces

Mathematics – Algebraic Geometry

Scientific paper

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LaTeX 2.09, 5 pages, To appear in Manuscripta Math

Scientific paper

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.

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