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Automorphisms of Jacobian Kummer surfaces

Published online by Cambridge University Press:  04 December 2007

JONG HAE KEUM
JONG HAE KEUM
Affiliation:
Department of Mathematics, Konkuk University, Seoul 143-701, Korea; e-mail: [email protected]
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Abstract

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We study automorphisms of a generic Jacobian Kummer surface. First we analyse the action of classically known automorphisms on the Picard lattice of the surface, then proceed to construct new automorphisms not generated by classical ones. We find 192 such automorphisms, all conjugate by the symmetry group of the (16,6)-configuration.

Keywords

K3 surfacesJacobian Kummer surfacesPicard latticeautomorphisms
Type
Research Article
Information
Compositio Mathematica , Volume 107 , Issue 3 , July 1997 , pp. 269 - 288
Copyright
© 1997 Kluwer Academic Publishers