The classification of log Enriques surfaces of rank 18

TL;DR

This paper classifies all rational log Enriques surfaces of rank 18, providing explicit models for each realizable type, thereby extending the understanding of these complex algebraic surfaces.

Contribution

It offers a complete classification and concrete models for rational log Enriques surfaces of rank 18, a significant step in algebraic surface theory.

Findings

Complete classification of rational log Enriques surfaces of rank 18

Explicit models for all realizable types

Enhanced understanding of the structure of these surfaces

Abstract

Log Enriques surface is a generalization of K3 and Enriques surface. We will classify all the rational log Enriques surfaces of rank 18 by giving concrete models for the realizable types of these surfaces.