The automorphism groups of certain singular K3 surfaces and an Enriques surface

2014/12/22 by Ichiro Shimada, Shimada, Ichiro
Computer Science · Mathematics · #14J28 #14J50 #14Q10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1412.6904

openalex publication_date 2014/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present finite sets of generators of the full automorphism groups of three singular K3 surfaces, on which the alternating group of degree 6 acts symplectically. We also present a finite set of generators of the full automorphism group of an associated Enriques surface, on which the Mathieu group M₁₀ acts.

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