Minimum positive entropy of complex Enriques surface automorphisms

TL;DR

This paper determines the smallest positive entropy for automorphisms of complex Enriques surfaces, completing the classification of minimal positive entropy across all complex surface classes.

Contribution

It identifies the minimum positive entropy for complex Enriques surface automorphisms, filling a gap in the classification of surface automorphisms.

Findings

Minimum positive entropy for Enriques surface automorphisms determined

Completes the classification of minimal positive entropy for complex surfaces

Builds on McMullen's work to finalize the classification

Abstract

We determine the minimum positive entropy of complex Enriques surface automorphisms. This together with McMullen's work completes the determination of the minimum positive entropy of complex surface automorphisms in each class of Enriques-Kodaira classification of complex surfaces.