English

A note on a supersingular K3 surface in characteristic 2

Algebraic Geometry 2011-05-12 v2

Abstract

We construct, on a supersingular K3 surface with Artin invariant 1 in characteristic 2, a set of 21 disjoint smooth rational curves and another set of 21 disjoint smooth rational curves such that each curve in one set intersects exactly 5 curves from the other set with multiplicity 1 by using the structure of a generalized Kummer surface.

Keywords

Cite

@article{arxiv.1010.5835,
  title  = {A note on a supersingular K3 surface in characteristic 2},
  author = {Toshiyuki Katsura and Shigeyuki Kondo},
  journal= {arXiv preprint arXiv:1010.5835},
  year   = {2011}
}

Comments

We have changed the title. The new version contains more detailed explanation

R2 v1 2026-06-21T16:35:17.278Z