# On birational automorphisms of Severi-Brauer surfaces

## TL;DR

This paper explicitly describes the generators of the birational automorphism group of Severi-Brauer surfaces over non-closed fields, extending understanding of their symmetries beyond algebraically closed cases.

## Contribution

It provides an explicit description of the generators of the birational automorphism group for Severi-Brauer surfaces over certain fields, a previously unresolved problem.

## Key findings

- Generators of the birational automorphism group are explicitly characterized.
- The description applies to Severi-Brauer surfaces not isomorphic to the projective plane.
- The results deepen understanding of birational symmetries over non-closed fields.

## Abstract

The generators of the group of birational automorphisms of any Severi-Brauer surface non-isomorphic over an algebraically non-closed field to the projective plane are explicitly described.