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arXiv 2010-10-28 0 views

A note on a supersingular K3 surface in characteristic 2

Katsura, Toshiyuki · Kondo, Shigeyuki

Original · EN

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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