Automorphisms of quasi-projective surfaces over fields of finite characteristic

TL;DR

This paper proves that the automorphism group of any quasi-projective surface over a field of finite characteristic exhibits the p-Jordan property, indicating a structured behavior of automorphisms in such algebraic surfaces.

Contribution

It establishes the p-Jordan property for automorphism groups of quasi-projective surfaces over fields of finite characteristic, a new result in algebraic geometry.

Findings

Automorphism groups have the p-Jordan property.

The result applies to all quasi-projective surfaces in finite characteristic.

Provides a structural understanding of automorphisms in this setting.

Abstract

We prove that the group of automorphisms of any quasi-projective surface $S$ in finite characteristic has the $p$-Jordan property.