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MODULI CURVES OF SUPERSINGULAR K3 SURFACES IN CHARACTERISTIC 2 WITH ARTIN INVARIANT 2

Published online by Cambridge University Press:  30 May 2006

Ichiro Shimada
Ichiro Shimada
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan (shimada@math.sci.hokudai.ac.jp)
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Abstract

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We construct moduli curves of polarized supersingular K3 surfaces in characteristic 2 with Artin invariant 2. As an application, we detect a ‘jump’ phenomenon in a family of automorphism groups of supersingular K3 surfaces with a constant Néron–Severi lattice.

Keywords

Primary 14J28Secondary 14J1014Q10supersingular K3 surfacemodulibinary codeCremona transformation
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 49 , Issue 2 , June 2006 , pp. 435 - 503
Copyright
Copyright © Edinburgh Mathematical Society 2006