Proceedings of the Edinburgh Mathematical Society (Series 2)

Table of Contents - June 2006 - Volume 49, Issue 02  

Research Article

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

Ichiro Shimadaa1

a1 Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan (shimada@math.sci.hokudai.ac.jp)

Abstract

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.

(Online publication May 30 2006)

(Received June 11 2004)

Keywords

  • Primary 14J28;
  • Secondary 14J10;
  • 14Q10;
  • supersingular K3 surface;
  • moduli;
  • binary code;
  • Cremona transformation

Footnotes

Dedicated to Professor Igor V. Dolgachev for his 60th birthday