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

Published online by Cambridge University Press:  11 January 2016

Afsaneh Mehran
Afsaneh Mehran*
Affiliation:
Section de Mathématiques, Université de Genève, 1211 Genéve 4, SwitzerlandAfsaneh.Mehran@unige.ch
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Abstract

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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 I2.

Keywords

14J28
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 202 , June 2011 , pp. 127 - 143
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2011

References

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