On Enriques surfaces in characteristic 2 with a finite group of automorphisms

2015/12/22 by Toshiyuki Katsura, Shigeyuki Kondō, Katsura, Toshiyuki +1
Computer Science · Mathematics · #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.1512.06923

openalex publication_date 2015/12/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Complex Enriques surfaces with a finite group of automorphisms are classified into seven types. In this paper, we determine which types of such Enriques surfaces exist in characteristic 2. In particular we give a one dimensional family of classical and supersingular Enriques surfaces with the automorphism group isomorphic to the symmetric group of degree five.

Citations

• Finite groups of automorphisms of Enriques surfaces and the Mathieu group M₁₂
• On exceptional Enriques surfaces

Related

• Classification of Enriques surfaces with finite automorphism group in characteristic 2
• Enriques surfaces with finite automorphism group in positive characteristic
• Automorphism groups of certain Enriques surfaces
• A brief introduction to Enriques surfaces
• Classification of Enriques surfaces covered by the supersingular K3\n surface with Artin invariant 1 in characteristic 2