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Scientific article
Open access
English

Double covers of Kummer surfaces

ContributorsMehran, Afsaneh
Published inManuscripta mathematica, vol. 123, no. 2, p. 205-235
Collection
  • Open Access - Licence nationale Springer
Publication date2007
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.

Citation (ISO format)
MEHRAN, Afsaneh. Double covers of Kummer surfaces. In: Manuscripta mathematica, 2007, vol. 123, n° 2, p. 205–235. doi: 10.1007/s00229-007-0092-4
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Article (Published version)
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ISSN of the journal0025-2611
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