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Rational double points on supersingular  surfaces |
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| Authors: | Ichiro Shimada |
| Affiliation: | Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan |
| Abstract: | We investigate configurations of rational double points with the total Milnor number  on supersingular  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  surfaces. |
| Keywords: | Rational double point supersingular $K3$ surface extremal \mbox{(quasi-)} elliptic fibration |
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