Automorphisms of real del Pezzo surfaces and the real plane Cremona group

TL;DR

This paper investigates automorphism groups of real del Pezzo surfaces, focusing on finite groups acting minimally, and contributes significantly to classifying finite subgroups within the real plane Cremona group.

Contribution

It provides a substantial classification of finite subgroups of the real plane Cremona group via automorphisms of real del Pezzo surfaces.

Findings

Classification of finite automorphism groups of real del Pezzo surfaces

Identification of minimal group actions on these surfaces

Progress towards a comprehensive classification of finite subgroups in the real plane Cremona group

Abstract

We study automorphism groups of real del Pezzo surfaces, concentrating on finite groups acting minimally on them. As a result, we obtain a vast part of classification of finite subgroups in the real plane Cremona group.