Rational double points on Enriques surfaces

TL;DR

This paper classifies all possible configurations of rational double points on Enriques surfaces using lattice-theoretic methods, advancing understanding of surface singularities in algebraic geometry.

Contribution

It provides a comprehensive classification of rational double point configurations on Enriques surfaces, a new result in algebraic surface theory.

Findings

Complete classification of rational double points on Enriques surfaces

Identification of lattice-theoretic equivalence classes

Enhanced understanding of surface singularity configurations

Abstract

We classify, up to some lattice-theoretic equivalence, all possible configurations of rational double points that can appear on a surface whose minimal resolution is a complex Enriques surface.