Rational double points on supersingular $K3$ surfaces
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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.References
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Additional Information
- Ichiro Shimada
- Affiliation: Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan
- Email: shimada@math.sci.hokudai.ac.jp
- Received by editor(s): November 27, 2002
- Published electronically: March 18, 2004
- © Copyright 2004 American Mathematical Society
- Journal: Math. Comp. 73 (2004), 1989-2017
- MSC (2000): Primary 14J28; Secondary 14J17, 14J27, 14Q10
- DOI: https://doi.org/10.1090/S0025-5718-04-01641-2
- MathSciNet review: 2059747