Log del Pezzo surfaces with simple automorphism groups

TL;DR

This paper investigates del Pezzo surfaces with log terminal singularities that admit actions by finite simple groups, aiming to classify and understand their automorphism groups and geometric properties.

Contribution

It introduces a classification of log del Pezzo surfaces with simple automorphism groups, focusing on their singularities and symmetry structures.

Findings

Classification of such surfaces with simple automorphism groups

Identification of specific singularity types compatible with simple group actions

Insights into the symmetry and geometric structure of these surfaces

Abstract

In this paper we consider del Pezzo surfaces with only log terminal singularities admitting an action of a finite simple group.