An explicit Enriques surface with an automorphism of minimum entropy

TL;DR

This paper provides explicit equations for a specific automorphism of an Enriques surface that has the lowest possible topological entropy, using a computer-aided approach involving elliptic fibrations.

Contribution

It introduces a computer-aided method to explicitly derive equations for the minimal entropy automorphism on an Enriques surface.

Findings

Explicit equations for the automorphism are obtained.

The automorphism has minimum topological entropy on the surface.

Elliptic fibrations are used in the derivation process.

Abstract

We derive explicit equations for the Oguiso-Yu automorphism of minimum topological entropy on a complex Enriques surface. The approach is computer aided and makes use of elliptic fibrations.