Double covers of Kummer surfaces

Afsaneh Mehran

Double covers of Kummer surfaces

Algebraic Geometry 2007-05-23 v1 Mathematical Physics math.MP

Authors: Afsaneh Mehran

Abstract

In this paper, we classify all the K3 surfaces covering a Kummer surface. Our classification is expressed in terms of period lattices and extends Morrison's criterion of K3 surfaces with a Shioda-Inose structure. Moreover, we list all the K3 surfaces covering a general Kummer surface and provide very geometrical examples of such a phenomenon.

Keywords

algebraic surfaces

Cite

@article{arxiv.math/0611752,
  title  = {Double covers of Kummer surfaces},
  author = {Afsaneh Mehran},
  journal= {arXiv preprint arXiv:math/0611752},
  year   = {2007}
}

Comments

27 pages, 7 figures

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