Double covers of Kummer surfaces

Details Double covers of Kummer surfaces Double covers of Kummer surfaces

2006-11-24

arxiv.org/abs/math/0611752v1

Mathematics

Algebraic Geometry

27 pages, 7 figures

Scientific paper

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.

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