A note on a supersingular K3 surface in characteristic 2

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.

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Cited by in corpus (5)

• On certain duality of Néron-Severi lattices of supersingular K3 surfaces
• The number of singular points of quartic surfaces (char=2)
• On the supersingular K3 surface in characteristic 5 with Artin invariant 1
• Projective models of the supersingular K3 surface with Artin invariant 1 in characteristic 5
• Rational curves on the supersingular K3 surface with Artin invariant 1 in characteristic 3