Kummer surfaces associated to (1,2)-polarized abelian surfaces

Afsaneh Mehran

Kummer surfaces associated to (1,2)-polarized abelian surfaces

Algebraic Geometry 2008-05-02 v1

Authors: Afsaneh Mehran

Abstract

The aim of this paper is to describe the geometry of the generic Kummer surface associated to a $(1,2)$ -polarized abelian surface. We show that it is the double cover of a weak del Pezzo surface and that it inherits from the del Pezzo surface an elliptic fibration with twelve singular fibers of type $I_2.$

Keywords

del pezzo surfaces algebraic surfaces fibrations

Cite

@article{arxiv.0805.0111,
  title  = {Kummer surfaces associated to (1,2)-polarized abelian surfaces},
  author = {Afsaneh Mehran},
  journal= {arXiv preprint arXiv:0805.0111},
  year   = {2008}
}

Comments

13 pages, 1 figure

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