# Canonical coverings of Enriques surfaces in characteristic $2$

## TL;DR

This paper classifies all possible singularity configurations on canonical covers of Enriques surfaces in characteristic 2 and identifies the types of Enriques surfaces they originate from.

## Contribution

It provides a complete classification of singularities on canonical covers of Enriques surfaces in characteristic 2 and links each to the surface type.

## Key findings

- All singularity configurations on the covers are classified.
- The correspondence between singularities and classical or supersingular Enriques surfaces is established.
- The structure of the canonical covers in characteristic 2 is fully described.

## Abstract

Let $\bar{Y}$ be a normal surface that is the canonical $\mu_2$- or $\alpha_2$-covering of a classical or supersingular Enriques surface in characteristic $2$. We determine all possible configurations of singularities on $\bar{Y}$, and for each configuration we describe which type of Enriques surfaces (classical or supersingular) appear as quotients of $\bar{Y}$.