Non-symplectic involutions of a K3 surface

1995/12/09 by G. Xiao, Xiao, G. · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9512007

10 pages plain TeX

arxiv created 1995/12/09 · openalex publication_date 1995/12/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify K3 surfaces with a non-symplectic finite automorphism of high order. It is shown that such an automorphism cannot be of order 60, and for each of the orders 38, 44, 48, 50, 54 and 66, there exists a unique K3 surface with such an automorphism.

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