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Double covers of Kummer surfaces

Published in Manuscripta Mathematica. 2007, vol. 123, no. 2, p. 205 - 235
Abstract Besides its construction as a quotient of an abelian surface, a Kummer surface can be obtained as the quotient of a K3 surface by a Z/2Z-action. In this paper, we classify all such K3 surfaces. 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 associated to a general Kummer surface and provide very geometrical examples of this phenomenon.
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MEHRAN, Afsaneh. Double covers of Kummer surfaces. In: Manuscripta Mathematica, 2007, vol. 123, n° 2, p. 205 - 235. https://archive-ouverte.unige.ch/unige:9792

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Deposited on : 2010-07-29

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