Dynkin diagrams of rank 20 on supersingular K3 surfaces

Abstract

We classify normal supersingular K3 surfaces Y with total Milnor number 20 in characteristic p, where p is an odd prime that does not divide the discriminant of the Dynkin type of the rational double points on Y.

SCIENCE CHINA Mathematics, special issue for the Proceedings of Algebraic Geometry in East Asia, Beijing, China, October 2013 (to appear). This paper appeared in the preprint form in the homepage of the first author in year 2005

References in corpus (3)

• A supersingular K3 surface in characteristic 2 and the Leech lattice
• K3 surfaces with ten cusps
• Rational double points on supersingular K3 surfaces

Cited by in corpus (1)

• Inseparable maps on $W_n$-valued local cohomology groups of non-taut rational double point singularities and the height of K3 surfaces