Classification of involutions on Enriques surfaces

2013/02/10 by Hiroki Ito, Ito, Hiroki, Hisanori Ohashi +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #14J28 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Biological Activity of Diterpenoids and Biflavonoids #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1302.2316

openalex publication_date 2013/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the classification of involutions on Enriques surfaces. We classify those into 18 types with the help of the lattice theory due to Nikulin. We also give all examples of the classification.

Related

• Involutions on surfaces
• Godeaux surfaces with an Enriques involution and some stable degenerations
• On the Topological Classification of Real Enriques Surfaces. I
• Classification of log Enriques surfaces with delta=1
• Involutions on a surface of general type with p_g=q=0, K²=7