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

Afsaneh Mehran

doi:10.1215/00277630-1260477

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Home > Journals > Nagoya Math. J. > Volume 202 > Article

June 2011 Kummer surfaces associated to

(1,2)

-polarized abelian surfaces

Afsaneh Mehran

Nagoya Math. J. 202: 127-143 (June 2011). DOI: 10.1215/00277630-1260477

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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 interesting elliptic fibration with twelve singular fibers of type $I_{2}$ .

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Afsaneh Mehran. "Kummer surfaces associated to $(1,2)$ -polarized abelian surfaces." Nagoya Math. J. 202 127 - 143, June 2011. https://doi.org/10.1215/00277630-1260477