# Classification of Enriques surfaces covered by the supersingular K3 surface with Artin invariant 1 in characteristic 2

## TL;DR

This paper classifies Enriques surfaces in characteristic 2 that are covered by a specific supersingular K3 surface with Artin invariant 1, identifying exactly three types.

## Contribution

It provides a complete classification of Enriques surfaces covered by the specified supersingular K3 surface in characteristic 2, a previously unresolved problem.

## Key findings

- Exactly three types of such Enriques surfaces exist.
- The classification is complete and explicit.
- The work advances understanding of surface coverings in characteristic 2.

## Abstract

We classifiy Enriques surfaces covered by the supersingular K3 surface with the Artin invariant 1 in characteristic 2. There are exactly three types of such Enriques surfaces.