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arxiv: math/0311057 · v1 · submitted 2003-11-05 · 🧮 math.AG

Rational double points on supersingular K3 surfaces

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keywords supersingularsurfacescompleteconfigurationsdoublelistpointsrational
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We investigate configurations of rational double points with the total Milnor number 21 on supersingular $K3$ surfaces. The complete list of possible configurations is given. As an application, we also give the complete list of extremal (quasi-)elliptic fibrations on supersingular $K3$ surfaces.

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