A note on a supersingular K3 surface in characteristic 2

Details A note on a supersingular K3 surface in characteristic 2 A note on a supersingular K3 surface in characteristic 2

2010-10-28

arxiv.org/abs/1010.5835v2

Mathematics

Algebraic Geometry

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Scientific paper

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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