On K3 surfaces which dominate Kummer surfaces

Abstract

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.

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