Automorphisms of del Pezzo surfaces in characteristic 2

TL;DR

This paper completes the classification of automorphism groups of del Pezzo surfaces across all characteristics, focusing on degrees one and two in characteristic two.

Contribution

It provides a complete classification of automorphism groups of del Pezzo surfaces in characteristic two, finishing the overall classification across all characteristics.

Findings

Automorphism groups of degree one del Pezzo surfaces in characteristic two are classified.

Automorphism groups of degree two del Pezzo surfaces in characteristic two are classified.

The classification completes the understanding of automorphisms for all del Pezzo surfaces.

Abstract

We classify the automorphism groups of del Pezzo surfaces of degrees one and two over an algebraically closed field of characteristic two. This finishes the classification of automorphism groups of del Pezzo surfaces in all characteristics.