Classification of involutions on Enriques surfaces
Hiroki Ito, Hisanori Ohashi
TL;DR
This paper classifies involutions on Enriques surfaces into 18 types using lattice theory, providing a comprehensive list of examples for each type.
Contribution
It offers the first complete classification of involutions on Enriques surfaces, utilizing Nikulin's lattice theory and including explicit examples.
Findings
18 distinct types of involutions classified
Complete list of examples for each involution type
Application of lattice theory to surface automorphisms
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Biological Activity of Diterpenoids and Biflavonoids · Algebraic structures and combinatorial models