Double covers of Kummer surfaces

Article Article scientifique Article Double covers of Kummer surfaces eng 2007 author Mehran Afsaneh 502601 205-235 10.1007/s00229-007-0092-4 0025-2611 http://www.springerlink.com/index/10.1007/s00229-007-0092-4 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. Dewey 510 Open Access - Licence nationale Springer 25 Section de mathématiques 11 false Manuscripta mathematica 123 2 9dd19130-05ba-46b5-9b8a-9913881e4b76 Article (Published version) Public Mehran_MM.pdf 603936 application/pdf openAccess Faculté des sciences / Section de mathématiques

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Double covers of Kummer surfaces	Manuscripta mathematica			2007	603	257

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Mehran, Afsaneh