Skip to Main content Skip to Navigation
Journal articles

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

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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00168831
Contributor : Frédéric Mangolte <>
Submitted on : Thursday, August 30, 2007 - 2:21:39 PM
Last modification on : Wednesday, April 1, 2020 - 1:57:30 AM

Links full text

Identifiers

  • HAL Id : hal-00168831, version 1
  • ARXIV : 0708.3992

Collections

Citation

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

Share

Metrics

Record views

251