On K3 surfaces which dominate Kummer surfaces

Mathematics – Algebraic Geometry

Scientific paper

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8 pages, references added, to appear in Proc. Amer. Math. Soc

Scientific paper

We study isogeny relations between K3 surfaces and Kummer surfaces.
Specifically, we prove a Torelli-type theorem for the existence of rational
maps from K3 surfaces to Kummer surfaces, and a Kummer sandwich theorem for K3
surfaces with Shioda-Inose structure.

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