Enriques surfaces of zero entropy

TL;DR

This paper classifies Enriques surfaces with zero entropy, identifying those with a virtually abelian automorphism group, thus advancing understanding of their symmetry properties.

Contribution

It provides a complete classification of Enriques surfaces of zero entropy, linking their automorphism groups to their geometric structure.

Findings

Enriques surfaces of zero entropy have a virtually abelian automorphism group

Classification results specify the geometric conditions for zero entropy

The work connects entropy with automorphism group structure

Abstract

We classify Enriques surfaces of zero entropy, or, equivalently, Enriques surfaces with a virtually abelian automorphism group.