arXiv:math/0611752 Abstract

arXiv:math/0611752 [math.AG]Abstract References Reviews Resources

Double covers of Kummer surfaces

Published 2006-11-24Version 1

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.

Comments: 27 pages, 7 figures

Categories: math.AG, math-ph, math.MP

Subjects: 14J28, 14J10

Keywords: double covers, k3 surfaces covering, general kummer surface, extends morrisons criterion, period lattices

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