English

On K3 surfaces which dominate Kummer surfaces

Algebraic Geometry 2011-09-05 v3

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.

Keywords

Cite

@article{arxiv.0905.4107,
  title  = {On K3 surfaces which dominate Kummer surfaces},
  author = {Shouhei Ma},
  journal= {arXiv preprint arXiv:0905.4107},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T13:05:53.084Z