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arXiv · 0708.3992

The group of automorphisms of a real rational surface is n-transitive

Johannes Huisman·Frédéric Mangolte
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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.

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Johannes Huisman, Frédéric Mangolte. 2007-08-29. The group of automorphisms of a real rational surface is n-transitive. https://doi.org/10.1112/blms%2Fbdp033

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