%0 Journal Article %T On K3 surfaces which dominate Kummer surfaces %A Shouhei Ma %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0905.4107v3