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Article Dans Une Revue Bulletin of the London Mathematical Society Année : 2009

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

Frédéric Mangolte

Résumé

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.

Dates et versions

hal-00168831 , version 1 (30-08-2007)

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Johannes Huisman, Frédéric Mangolte. The group of automorphisms of a real rational surface is n-transitive. Bulletin of the London Mathematical Society, 2009, 41 (3), pp.563-568. ⟨hal-00168831⟩
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