Rational double points on supersingular K3 surfaces

Mathematics – Algebraic Geometry

Scientific paper

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31 pages

Scientific paper

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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