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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, Switzerland Afsaneh.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 I 2.

Keywords

14J28

Information

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

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