Rational double points on supersingular $K3$ surfaces

Ichiro Shimada
2004 Mathematics of Computation  
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.
doi:10.1090/s0025-5718-04-01641-2 fatcat:m7m5enmpf5eqxcdmu2wsmicmcm