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Rational double points on supersingular K3 surfaces

Ichiro Shimada
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Abstract

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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Ichiro Shimada. 2003-11-05. Rational double points on supersingular K3 surfaces. https://arxiv.org/abs/math/0311057

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