K3 surfaces with an order 60 automorphism and a characterization of supersingular K3 surfaces with Artin invariant 1

2012/04/08 by JongHae Keum, Keum, JongHae
Mathematics · #14J27 #14J28 #14J50 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1204.1711

openalex publication_date 2012/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In characteristic p=0 or p>5, we show that a K3 surface with an order 60 automorphism is unique up to isomorphism. As a consequence, we characterize the supersingular K3 surface with Artin invariant 1 in characteristic p=11 (mod 12) by a cyclic symmetry of order 60.

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