Dynkin diagrams of rank 20 on supersingular K3 surfaces

2014/08/23 by Ichiro Shimada, De-Qi Zhang, De‐Qi Zhang
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Artificial intelligence #Combinatorics #Computer science #Diagram #Discriminant #Dynkin diagram #Finite Group Theory Research #Geology #Mathematics #Preprint #Prime (order theory) #Pure mathematics #Rank (graph theory) #Statistics #Type (biology) #math.AG #msc:14J28

paper · pdf · doi:10.1007/s11425-014-4902-3

published as Science China Mathematics, Special issue for: Algebraic Geometry in East Asia 2013, 58 (2015) 543 - 552 · 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

arxiv created 2014/08/23 · openalex publication_date 2014/09/18 · arxiv updated 2018/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• A Course in Arithmetic
• A supersingular K3 surface in characteristic 2 and the Leech lattice
• On Isolated Rational Singularities of Surfaces
• Rational double points on supersingular K3 surfaces
• Sphere Packings, Lattices and Groups