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A characterization of the Fermat quartic K3 surface by means of finite symmetries

Published online by Cambridge University Press:  10 February 2005

Keiji Oguiso
Keiji Oguiso
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, Komaba Meguro-ku, Tokyo 153-8914, Japanoguiso@ms.u-tokyo.ac.jp
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Abstract

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We characterize the Fermat quartic K3 surface, among all K3 surfaces, by means of its finite group symmetries.

Keywords

K3 surfaceFermat quartic surfacefinite automorphism group14J28
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 2 , March 2005 , pp. 404 - 424
Copyright
Foundation Compositio Mathematica 2005