arXiv subjects

Afsaneh Mehran

Publications and source records attributed to Afsaneh Mehran.

2 recordsLinked to original sources

arXiv2008

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

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 $I_2.$

math.AG↗

arXiv2006

Double covers of Kummer surfaces

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.

math.AG↗