The group of automorphisms of a real rational surface is n-transitive
Algebraic Geometry
2025-05-23 v2
Abstract
Let X be a rational nonsingular compact connected real algebraic surface. Denote by Aut(X) the group of real algebraic automorphisms of X. We show that the group Aut(X) acts n-transitively on X, for all natural integers n. As an application we give a new and simpler proof of the fact that two rational nonsingular compact connected real algebraic surfaces are isomorphic if and only if they are homeomorphic as topological surfaces.
Keywords
Cite
@article{arxiv.0708.3992,
title = {The group of automorphisms of a real rational surface is n-transitive},
author = {Johannes Huisman and Frédéric Mangolte},
journal= {arXiv preprint arXiv:0708.3992},
year = {2025}
}
Comments
Title changed, exposition improved